If your journey lasts 11 hours and 15 minutes what speed are you travelling at if you cover 90 miles?

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I'm at a really loose end - I just can't seem to grab some fundamentals of Speed Distance Time.



Can someone explain to me how they discover the answer to the following equipped with steps on how to figure out. I really cannot remember the process in how to do so since I left school.




If your journey lasts 11 hours and 15 minutes what speed are you
travelling at if you cover 90 miles?




I know the answer is 8MPH but I'm not sure in how to reach the answer.



Thanks



K







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  • Unit analysis is helpful here. You are told that the journey is $11.25 texthr$ long, and that it covers a distance of $90 textmi$. Your answer is a speed, in miles per hour. "Per" means divide, thus the answer is $x fractextmitexthr$. You know that the units have to be $fractextmitexthr$, so divide distance by time to get speed.
    – Xander Henderson
    55 mins ago















up vote
-1
down vote

favorite












I'm at a really loose end - I just can't seem to grab some fundamentals of Speed Distance Time.



Can someone explain to me how they discover the answer to the following equipped with steps on how to figure out. I really cannot remember the process in how to do so since I left school.




If your journey lasts 11 hours and 15 minutes what speed are you
travelling at if you cover 90 miles?




I know the answer is 8MPH but I'm not sure in how to reach the answer.



Thanks



K







share|cite|improve this question





















  • Unit analysis is helpful here. You are told that the journey is $11.25 texthr$ long, and that it covers a distance of $90 textmi$. Your answer is a speed, in miles per hour. "Per" means divide, thus the answer is $x fractextmitexthr$. You know that the units have to be $fractextmitexthr$, so divide distance by time to get speed.
    – Xander Henderson
    55 mins ago













up vote
-1
down vote

favorite









up vote
-1
down vote

favorite











I'm at a really loose end - I just can't seem to grab some fundamentals of Speed Distance Time.



Can someone explain to me how they discover the answer to the following equipped with steps on how to figure out. I really cannot remember the process in how to do so since I left school.




If your journey lasts 11 hours and 15 minutes what speed are you
travelling at if you cover 90 miles?




I know the answer is 8MPH but I'm not sure in how to reach the answer.



Thanks



K







share|cite|improve this question













I'm at a really loose end - I just can't seem to grab some fundamentals of Speed Distance Time.



Can someone explain to me how they discover the answer to the following equipped with steps on how to figure out. I really cannot remember the process in how to do so since I left school.




If your journey lasts 11 hours and 15 minutes what speed are you
travelling at if you cover 90 miles?




I know the answer is 8MPH but I'm not sure in how to reach the answer.



Thanks



K









share|cite|improve this question












share|cite|improve this question




share|cite|improve this question








edited 4 hours ago









mvw

30.1k22150




30.1k22150









asked 5 hours ago









karlb123

4




4











  • Unit analysis is helpful here. You are told that the journey is $11.25 texthr$ long, and that it covers a distance of $90 textmi$. Your answer is a speed, in miles per hour. "Per" means divide, thus the answer is $x fractextmitexthr$. You know that the units have to be $fractextmitexthr$, so divide distance by time to get speed.
    – Xander Henderson
    55 mins ago

















  • Unit analysis is helpful here. You are told that the journey is $11.25 texthr$ long, and that it covers a distance of $90 textmi$. Your answer is a speed, in miles per hour. "Per" means divide, thus the answer is $x fractextmitexthr$. You know that the units have to be $fractextmitexthr$, so divide distance by time to get speed.
    – Xander Henderson
    55 mins ago
















Unit analysis is helpful here. You are told that the journey is $11.25 texthr$ long, and that it covers a distance of $90 textmi$. Your answer is a speed, in miles per hour. "Per" means divide, thus the answer is $x fractextmitexthr$. You know that the units have to be $fractextmitexthr$, so divide distance by time to get speed.
– Xander Henderson
55 mins ago





Unit analysis is helpful here. You are told that the journey is $11.25 texthr$ long, and that it covers a distance of $90 textmi$. Your answer is a speed, in miles per hour. "Per" means divide, thus the answer is $x fractextmitexthr$. You know that the units have to be $fractextmitexthr$, so divide distance by time to get speed.
– Xander Henderson
55 mins ago











4 Answers
4






active

oldest

votes

















up vote
3
down vote













The unit they are asking for is miles per hour so you need to know:



  1. How many miles they covered

  2. How many hours it took.

Once you know these two, you need to divide the miles by the hours.



The answer to 1 is given in the question - they covered $90$ miles.



The answer to 2 is slightly hidden, the question gives $11$ hours $15$ minutes, which is the same as $11$ hours and a quarter of an hour, or $11.25$ hours.



Now all you need to do is $$frac9011.25=frac90(frac454)=frac4cdot9045=4cdot2=8$$
to get the answer you were looking for.






share|cite|improve this answer




























    up vote
    0
    down vote













    By definition we have



    $$v=frac d t = frac9011.25=8$$



    note indeed that $15$ min = $frac14$ h = $0.25$ h.






    share|cite|improve this answer





















    • @jonaslenz - thank you for both your input it is very well received. I think the issue is, is that I'm using a pen and paper with no access to calculator. Any easier way to simplify this?
      – karlb123
      5 hours ago










    • We have $$8cdot 11.25=8cdot (10+1+0.25)=8cdot 10 + 8cdot 1 + 8 cdot 0.25=80+8+2=90$$ therefore $90/11.25=8$.
      – gimusi
      5 hours ago











    • Or use that wolframalpha.com/input/?i=90%2F11.25
      – gimusi
      5 hours ago










    • @gimusi your first comment doesn't help in my opinion as the OP won't know that $8$ is a correct answer and so division by reverse multiplication isn't a good option. (This looks to me like a homework question where the OP has seen the answer but been confused by how to get there)
      – Rhys Hughes
      5 hours ago











    • @RhysHughes Yes maybe you are right, your way is indeed much clear for this kind of explanation. I've given a way to check since he already knows the result.
      – gimusi
      4 hours ago

















    up vote
    0
    down vote













    As velocity is given in miles per hour, let's just calculate this.
    You needed 11hrs 15min=11,25hrs for 90 miles. So in 1hr one has travelled $90/11,25=8$ miles. So the velocity is 8MPH






    share|cite|improve this answer




























      up vote
      0
      down vote














      If your journey lasts 11 hours and 15 minutes what speed are you
      traveling at if you cover 90 miles?




      Velocity is the time derivative of the position $s(t)$:
      $$
      v(t) = fracddt s(t)
      $$



      Speed is the magnitude of the velocity.



      To solve your task we assume the simple case of constant velocity.
      In this case we have:
      $$
      s(t) = v t
      $$
      where we used the further simplifications that we have position $s=0$ at time $t=0$, thus $s(0) = 0$.



      The last hurdle is to use proper units.
      $$
      t = 11 ,texth , 15 ,textmin = 11.25 ,texth
      $$
      so
      $$
      v = fracst = frac90 , textmiles11.25 ,texth
      = 8 fractextmilestexth
      $$






      share|cite|improve this answer





















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        4 Answers
        4






        active

        oldest

        votes








        4 Answers
        4






        active

        oldest

        votes









        active

        oldest

        votes






        active

        oldest

        votes








        up vote
        3
        down vote













        The unit they are asking for is miles per hour so you need to know:



        1. How many miles they covered

        2. How many hours it took.

        Once you know these two, you need to divide the miles by the hours.



        The answer to 1 is given in the question - they covered $90$ miles.



        The answer to 2 is slightly hidden, the question gives $11$ hours $15$ minutes, which is the same as $11$ hours and a quarter of an hour, or $11.25$ hours.



        Now all you need to do is $$frac9011.25=frac90(frac454)=frac4cdot9045=4cdot2=8$$
        to get the answer you were looking for.






        share|cite|improve this answer

























          up vote
          3
          down vote













          The unit they are asking for is miles per hour so you need to know:



          1. How many miles they covered

          2. How many hours it took.

          Once you know these two, you need to divide the miles by the hours.



          The answer to 1 is given in the question - they covered $90$ miles.



          The answer to 2 is slightly hidden, the question gives $11$ hours $15$ minutes, which is the same as $11$ hours and a quarter of an hour, or $11.25$ hours.



          Now all you need to do is $$frac9011.25=frac90(frac454)=frac4cdot9045=4cdot2=8$$
          to get the answer you were looking for.






          share|cite|improve this answer























            up vote
            3
            down vote










            up vote
            3
            down vote









            The unit they are asking for is miles per hour so you need to know:



            1. How many miles they covered

            2. How many hours it took.

            Once you know these two, you need to divide the miles by the hours.



            The answer to 1 is given in the question - they covered $90$ miles.



            The answer to 2 is slightly hidden, the question gives $11$ hours $15$ minutes, which is the same as $11$ hours and a quarter of an hour, or $11.25$ hours.



            Now all you need to do is $$frac9011.25=frac90(frac454)=frac4cdot9045=4cdot2=8$$
            to get the answer you were looking for.






            share|cite|improve this answer













            The unit they are asking for is miles per hour so you need to know:



            1. How many miles they covered

            2. How many hours it took.

            Once you know these two, you need to divide the miles by the hours.



            The answer to 1 is given in the question - they covered $90$ miles.



            The answer to 2 is slightly hidden, the question gives $11$ hours $15$ minutes, which is the same as $11$ hours and a quarter of an hour, or $11.25$ hours.



            Now all you need to do is $$frac9011.25=frac90(frac454)=frac4cdot9045=4cdot2=8$$
            to get the answer you were looking for.







            share|cite|improve this answer













            share|cite|improve this answer



            share|cite|improve this answer











            answered 5 hours ago









            Rhys Hughes

            3,8481227




            3,8481227




















                up vote
                0
                down vote













                By definition we have



                $$v=frac d t = frac9011.25=8$$



                note indeed that $15$ min = $frac14$ h = $0.25$ h.






                share|cite|improve this answer





















                • @jonaslenz - thank you for both your input it is very well received. I think the issue is, is that I'm using a pen and paper with no access to calculator. Any easier way to simplify this?
                  – karlb123
                  5 hours ago










                • We have $$8cdot 11.25=8cdot (10+1+0.25)=8cdot 10 + 8cdot 1 + 8 cdot 0.25=80+8+2=90$$ therefore $90/11.25=8$.
                  – gimusi
                  5 hours ago











                • Or use that wolframalpha.com/input/?i=90%2F11.25
                  – gimusi
                  5 hours ago










                • @gimusi your first comment doesn't help in my opinion as the OP won't know that $8$ is a correct answer and so division by reverse multiplication isn't a good option. (This looks to me like a homework question where the OP has seen the answer but been confused by how to get there)
                  – Rhys Hughes
                  5 hours ago











                • @RhysHughes Yes maybe you are right, your way is indeed much clear for this kind of explanation. I've given a way to check since he already knows the result.
                  – gimusi
                  4 hours ago














                up vote
                0
                down vote













                By definition we have



                $$v=frac d t = frac9011.25=8$$



                note indeed that $15$ min = $frac14$ h = $0.25$ h.






                share|cite|improve this answer





















                • @jonaslenz - thank you for both your input it is very well received. I think the issue is, is that I'm using a pen and paper with no access to calculator. Any easier way to simplify this?
                  – karlb123
                  5 hours ago










                • We have $$8cdot 11.25=8cdot (10+1+0.25)=8cdot 10 + 8cdot 1 + 8 cdot 0.25=80+8+2=90$$ therefore $90/11.25=8$.
                  – gimusi
                  5 hours ago











                • Or use that wolframalpha.com/input/?i=90%2F11.25
                  – gimusi
                  5 hours ago










                • @gimusi your first comment doesn't help in my opinion as the OP won't know that $8$ is a correct answer and so division by reverse multiplication isn't a good option. (This looks to me like a homework question where the OP has seen the answer but been confused by how to get there)
                  – Rhys Hughes
                  5 hours ago











                • @RhysHughes Yes maybe you are right, your way is indeed much clear for this kind of explanation. I've given a way to check since he already knows the result.
                  – gimusi
                  4 hours ago












                up vote
                0
                down vote










                up vote
                0
                down vote









                By definition we have



                $$v=frac d t = frac9011.25=8$$



                note indeed that $15$ min = $frac14$ h = $0.25$ h.






                share|cite|improve this answer













                By definition we have



                $$v=frac d t = frac9011.25=8$$



                note indeed that $15$ min = $frac14$ h = $0.25$ h.







                share|cite|improve this answer













                share|cite|improve this answer



                share|cite|improve this answer











                answered 5 hours ago









                gimusi

                63.3k73379




                63.3k73379











                • @jonaslenz - thank you for both your input it is very well received. I think the issue is, is that I'm using a pen and paper with no access to calculator. Any easier way to simplify this?
                  – karlb123
                  5 hours ago










                • We have $$8cdot 11.25=8cdot (10+1+0.25)=8cdot 10 + 8cdot 1 + 8 cdot 0.25=80+8+2=90$$ therefore $90/11.25=8$.
                  – gimusi
                  5 hours ago











                • Or use that wolframalpha.com/input/?i=90%2F11.25
                  – gimusi
                  5 hours ago










                • @gimusi your first comment doesn't help in my opinion as the OP won't know that $8$ is a correct answer and so division by reverse multiplication isn't a good option. (This looks to me like a homework question where the OP has seen the answer but been confused by how to get there)
                  – Rhys Hughes
                  5 hours ago











                • @RhysHughes Yes maybe you are right, your way is indeed much clear for this kind of explanation. I've given a way to check since he already knows the result.
                  – gimusi
                  4 hours ago
















                • @jonaslenz - thank you for both your input it is very well received. I think the issue is, is that I'm using a pen and paper with no access to calculator. Any easier way to simplify this?
                  – karlb123
                  5 hours ago










                • We have $$8cdot 11.25=8cdot (10+1+0.25)=8cdot 10 + 8cdot 1 + 8 cdot 0.25=80+8+2=90$$ therefore $90/11.25=8$.
                  – gimusi
                  5 hours ago











                • Or use that wolframalpha.com/input/?i=90%2F11.25
                  – gimusi
                  5 hours ago










                • @gimusi your first comment doesn't help in my opinion as the OP won't know that $8$ is a correct answer and so division by reverse multiplication isn't a good option. (This looks to me like a homework question where the OP has seen the answer but been confused by how to get there)
                  – Rhys Hughes
                  5 hours ago











                • @RhysHughes Yes maybe you are right, your way is indeed much clear for this kind of explanation. I've given a way to check since he already knows the result.
                  – gimusi
                  4 hours ago















                @jonaslenz - thank you for both your input it is very well received. I think the issue is, is that I'm using a pen and paper with no access to calculator. Any easier way to simplify this?
                – karlb123
                5 hours ago




                @jonaslenz - thank you for both your input it is very well received. I think the issue is, is that I'm using a pen and paper with no access to calculator. Any easier way to simplify this?
                – karlb123
                5 hours ago












                We have $$8cdot 11.25=8cdot (10+1+0.25)=8cdot 10 + 8cdot 1 + 8 cdot 0.25=80+8+2=90$$ therefore $90/11.25=8$.
                – gimusi
                5 hours ago





                We have $$8cdot 11.25=8cdot (10+1+0.25)=8cdot 10 + 8cdot 1 + 8 cdot 0.25=80+8+2=90$$ therefore $90/11.25=8$.
                – gimusi
                5 hours ago













                Or use that wolframalpha.com/input/?i=90%2F11.25
                – gimusi
                5 hours ago




                Or use that wolframalpha.com/input/?i=90%2F11.25
                – gimusi
                5 hours ago












                @gimusi your first comment doesn't help in my opinion as the OP won't know that $8$ is a correct answer and so division by reverse multiplication isn't a good option. (This looks to me like a homework question where the OP has seen the answer but been confused by how to get there)
                – Rhys Hughes
                5 hours ago





                @gimusi your first comment doesn't help in my opinion as the OP won't know that $8$ is a correct answer and so division by reverse multiplication isn't a good option. (This looks to me like a homework question where the OP has seen the answer but been confused by how to get there)
                – Rhys Hughes
                5 hours ago













                @RhysHughes Yes maybe you are right, your way is indeed much clear for this kind of explanation. I've given a way to check since he already knows the result.
                – gimusi
                4 hours ago




                @RhysHughes Yes maybe you are right, your way is indeed much clear for this kind of explanation. I've given a way to check since he already knows the result.
                – gimusi
                4 hours ago










                up vote
                0
                down vote













                As velocity is given in miles per hour, let's just calculate this.
                You needed 11hrs 15min=11,25hrs for 90 miles. So in 1hr one has travelled $90/11,25=8$ miles. So the velocity is 8MPH






                share|cite|improve this answer

























                  up vote
                  0
                  down vote













                  As velocity is given in miles per hour, let's just calculate this.
                  You needed 11hrs 15min=11,25hrs for 90 miles. So in 1hr one has travelled $90/11,25=8$ miles. So the velocity is 8MPH






                  share|cite|improve this answer























                    up vote
                    0
                    down vote










                    up vote
                    0
                    down vote









                    As velocity is given in miles per hour, let's just calculate this.
                    You needed 11hrs 15min=11,25hrs for 90 miles. So in 1hr one has travelled $90/11,25=8$ miles. So the velocity is 8MPH






                    share|cite|improve this answer













                    As velocity is given in miles per hour, let's just calculate this.
                    You needed 11hrs 15min=11,25hrs for 90 miles. So in 1hr one has travelled $90/11,25=8$ miles. So the velocity is 8MPH







                    share|cite|improve this answer













                    share|cite|improve this answer



                    share|cite|improve this answer











                    answered 5 hours ago









                    Jonas Lenz

                    326211




                    326211




















                        up vote
                        0
                        down vote














                        If your journey lasts 11 hours and 15 minutes what speed are you
                        traveling at if you cover 90 miles?




                        Velocity is the time derivative of the position $s(t)$:
                        $$
                        v(t) = fracddt s(t)
                        $$



                        Speed is the magnitude of the velocity.



                        To solve your task we assume the simple case of constant velocity.
                        In this case we have:
                        $$
                        s(t) = v t
                        $$
                        where we used the further simplifications that we have position $s=0$ at time $t=0$, thus $s(0) = 0$.



                        The last hurdle is to use proper units.
                        $$
                        t = 11 ,texth , 15 ,textmin = 11.25 ,texth
                        $$
                        so
                        $$
                        v = fracst = frac90 , textmiles11.25 ,texth
                        = 8 fractextmilestexth
                        $$






                        share|cite|improve this answer

























                          up vote
                          0
                          down vote














                          If your journey lasts 11 hours and 15 minutes what speed are you
                          traveling at if you cover 90 miles?




                          Velocity is the time derivative of the position $s(t)$:
                          $$
                          v(t) = fracddt s(t)
                          $$



                          Speed is the magnitude of the velocity.



                          To solve your task we assume the simple case of constant velocity.
                          In this case we have:
                          $$
                          s(t) = v t
                          $$
                          where we used the further simplifications that we have position $s=0$ at time $t=0$, thus $s(0) = 0$.



                          The last hurdle is to use proper units.
                          $$
                          t = 11 ,texth , 15 ,textmin = 11.25 ,texth
                          $$
                          so
                          $$
                          v = fracst = frac90 , textmiles11.25 ,texth
                          = 8 fractextmilestexth
                          $$






                          share|cite|improve this answer























                            up vote
                            0
                            down vote










                            up vote
                            0
                            down vote










                            If your journey lasts 11 hours and 15 minutes what speed are you
                            traveling at if you cover 90 miles?




                            Velocity is the time derivative of the position $s(t)$:
                            $$
                            v(t) = fracddt s(t)
                            $$



                            Speed is the magnitude of the velocity.



                            To solve your task we assume the simple case of constant velocity.
                            In this case we have:
                            $$
                            s(t) = v t
                            $$
                            where we used the further simplifications that we have position $s=0$ at time $t=0$, thus $s(0) = 0$.



                            The last hurdle is to use proper units.
                            $$
                            t = 11 ,texth , 15 ,textmin = 11.25 ,texth
                            $$
                            so
                            $$
                            v = fracst = frac90 , textmiles11.25 ,texth
                            = 8 fractextmilestexth
                            $$






                            share|cite|improve this answer














                            If your journey lasts 11 hours and 15 minutes what speed are you
                            traveling at if you cover 90 miles?




                            Velocity is the time derivative of the position $s(t)$:
                            $$
                            v(t) = fracddt s(t)
                            $$



                            Speed is the magnitude of the velocity.



                            To solve your task we assume the simple case of constant velocity.
                            In this case we have:
                            $$
                            s(t) = v t
                            $$
                            where we used the further simplifications that we have position $s=0$ at time $t=0$, thus $s(0) = 0$.



                            The last hurdle is to use proper units.
                            $$
                            t = 11 ,texth , 15 ,textmin = 11.25 ,texth
                            $$
                            so
                            $$
                            v = fracst = frac90 , textmiles11.25 ,texth
                            = 8 fractextmilestexth
                            $$







                            share|cite|improve this answer













                            share|cite|improve this answer



                            share|cite|improve this answer











                            answered 4 hours ago









                            mvw

                            30.1k22150




                            30.1k22150






















                                 

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