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
physics
add a comment |Â
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
physics
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.
â Xander Henderson
55 mins ago
add a comment |Â
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
physics
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
physics
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.
â Xander Henderson
55 mins ago
add a comment |Â
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.
â 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.
â 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.
â Xander Henderson
55 mins ago
add a comment |Â
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:
- How many miles they covered
- 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.
add a comment |Â
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.
@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?
â 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 $90/11.25=8$.
â gimusi
5 hours ago
Or use that wolframalpha.com/input/?i=90%2F11.25
â 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)
â 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.
â gimusi
4 hours ago
 |Â
show 2 more comments
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
add a comment |Â
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
$$
v = fracst = frac90 , textmiles11.25 ,texth
= 8 fractextmilestexth
$$
add a comment |Â
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:
- How many miles they covered
- 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.
add a comment |Â
up vote
3
down vote
The unit they are asking for is miles per hour so you need to know:
- How many miles they covered
- 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.
add a comment |Â
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:
- How many miles they covered
- 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.
The unit they are asking for is miles per hour so you need to know:
- How many miles they covered
- 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.
answered 5 hours ago
Rhys Hughes
3,8481227
3,8481227
add a comment |Â
add a comment |Â
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.
@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?
â 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 $90/11.25=8$.
â gimusi
5 hours ago
Or use that wolframalpha.com/input/?i=90%2F11.25
â 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)
â 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.
â gimusi
4 hours ago
 |Â
show 2 more comments
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.
@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?
â 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 $90/11.25=8$.
â gimusi
5 hours ago
Or use that wolframalpha.com/input/?i=90%2F11.25
â 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)
â 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.
â gimusi
4 hours ago
 |Â
show 2 more comments
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.
By definition we have
$$v=frac d t = frac9011.25=8$$
note indeed that $15$ min = $frac14$ h = $0.25$ h.
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?
â 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 $90/11.25=8$.
â gimusi
5 hours ago
Or use that wolframalpha.com/input/?i=90%2F11.25
â 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)
â 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.
â gimusi
4 hours ago
 |Â
show 2 more comments
@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?
â 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 $90/11.25=8$.
â gimusi
5 hours ago
Or use that wolframalpha.com/input/?i=90%2F11.25
â 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)
â 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.
â 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?
â 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?
â 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 $90/11.25=8$.
â 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 $90/11.25=8$.
â gimusi
5 hours ago
Or use that wolframalpha.com/input/?i=90%2F11.25
â gimusi
5 hours ago
Or use that wolframalpha.com/input/?i=90%2F11.25
â 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)
â 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)
â 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.
â 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.
â gimusi
4 hours ago
 |Â
show 2 more comments
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
add a comment |Â
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
add a comment |Â
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
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
answered 5 hours ago
Jonas Lenz
326211
326211
add a comment |Â
add a comment |Â
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
$$
v = fracst = frac90 , textmiles11.25 ,texth
= 8 fractextmilestexth
$$
add a comment |Â
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
$$
v = fracst = frac90 , textmiles11.25 ,texth
= 8 fractextmilestexth
$$
add a comment |Â
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
$$
v = fracst = frac90 , textmiles11.25 ,texth
= 8 fractextmilestexth
$$
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
$$
v = fracst = frac90 , textmiles11.25 ,texth
= 8 fractextmilestexth
$$
answered 4 hours ago
mvw
30.1k22150
30.1k22150
add a comment |Â
add a comment |Â
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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.
â Xander Henderson
55 mins ago