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the energy used per meter during running is twice the energy

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the energy used per meter during running is twice the energy [#permalink] New post 18 Jan 2016, 02:05
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Question Stats:

87% (01:10) correct 12% (01:45) wrong based on 62 sessions
Attachment:
#GREpracticequestion If s is a speed, in miles per hour, at which the energy.jpg
#GREpracticequestion If s is a speed, in miles per hour, at which the energy.jpg [ 48.34 KiB | Viewed 2426 times ]


If s is a speed, in miles per hour, at which the energy used per meter during running is twice the energy used per meter during walking, then, according
to the graph above, s is between

A 2.5 and 3.0
B 3.0 and 3.5
C 3.5 and 4.0
D 4.0 and 4.5
E 4.5 and 5.0

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Question: 21
Page: 335
Difficulty: medium
[Reveal] Spoiler: OA

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Re: the energy used per meter during running is twice the energy [#permalink] New post 18 Jan 2016, 04:17
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Solution

This question is about the speed at which the energy used per meter during running is twice that used per meter during walking. Graphically, this is the
speed for which the running energy is twice as high as the walking energy.

Looking at the graph, we can see that for speeds greater than or equal to 3.0 miles per hour, the running energy is less than twice the walking energy, so the desired speed must be less than 3.0. In fact, the desired speed is between 2.0 (the lowest speed on the graph) and 3.0. Looking at the answer choices, we see that there is only one answer choice that is between 2.0 and 3.0; namely, Choice A,which says the desired speed is between 2.5 and 3.0. The correct answer is Choice A.
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Re: the energy used per meter during running is twice the energy [#permalink] New post 23 Dec 2019, 07:01
Do we need to count that speed at miles per hour?
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Re: the energy used per meter during running is twice the energy [#permalink] New post 23 Dec 2019, 10:36
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You just need to look at the x-axis. Not to convert

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Re: the energy used per meter during running is twice the energy [#permalink] New post 06 May 2020, 08:44
Hi,
Can anyone explain this question and graph further please?
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Re: the energy used per meter during running is twice the energy [#permalink] New post 06 May 2020, 09:24
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Tricky one.

Attachment:
#GREpracticequestion If s is a speed, in miles per hour, at which the energy.jpg
#GREpracticequestion If s is a speed, in miles per hour, at which the energy.jpg [ 49.01 KiB | Viewed 474 times ]


the first thing to notice is we must consider the red vertical line. Every value of s when is doubled (the running velocity) must be before the red line.

I.E if you take the upper limit of s which is 5. the double is 10 which is not possible.

Every value that s takes when is doubled must be inside the red line because is the uppermost limit the s curve not he graph could have.

Now, the maximum value s has is 2.5 because doubling it we do have 5 on the running line.

2.6 *2 = 5.2 which is out.

So the answer is A.

To be precise the only value s has are between 2.0 and 2.5 at most
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Re: the energy used per meter during running is twice the energy [#permalink] New post 06 May 2020, 09:42
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sandy wrote:
Attachment:
#GREpracticequestion If s is a speed, in miles per hour, at which the energy.jpg


If s is a speed, in miles per hour, at which the energy used per meter during running is twice the energy used per meter during walking, then, according
to the graph above, s is between

A 2.5 and 3.0
B 3.0 and 3.5
C 3.5 and 4.0
D 4.0 and 4.5
E 4.5 and 5.0


Let's first familiarize ourselves with this diagram.

We'll start by examining what happens when runners and walkers travel at a speed of 4 miles per hour
Image
The location of the blue dot tells us that people RUNNING 4 mph use about 270 joules per metre
The location of the red dot tells us that people WALKING 4 mph use about 190 joules per metre
270/190 ≈ 1.4
So, when travelling at a speed of 4 mph, runners use about 1.4 times the energy that walkers use while travelling at a speed of 4 mph

We're looking for a speed at which runners use TWICE the energy that walkers use while travelling at the same speed.
So we'll keep looking...




Now let's examine what happens when runners and walkers travel at a speed of approximately 2.7 miles per hour
Image
The location of the blue dot tells us that people RUNNING 2.7 mph use about 290 joules per metre
The location of the red dot tells us that people WALKING 2.7 mph use about 145 joules per metre

290/145 ≈ 2
So, when travelling at a speed of 2.7 mph, runners use about 2 times the energy that walkers use while travelling at a speed of 2.7 mph

Answer: A

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Brent
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Re: the energy used per meter during running is twice the energy [#permalink] New post 06 May 2020, 10:53
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And nothing....

There is no comparison in the graphs between me and you.

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Re: the energy used per meter during running is twice the energy   [#permalink] 06 May 2020, 10:53
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