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Of the following, which is the greatest speed, in miles per

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Of the following, which is the greatest speed, in miles per [#permalink] New post 19 Jan 2016, 14:51
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#GREpracticequestion Of the following, which is the greatest speed.jpg [ 154.54 KiB | Viewed 1479 times ]


Note: Total stopping distance is the sum of the distance traveled during reaction time and the distance traveled after brakes have been applied.

Of the following, which is the greatest speed, in miles per hour, at which the car can travel and stop with a total stopping distance of less than 200 feet?

A. 50

B. 55

C. 60

D. 65

E. 70

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Question: 19
Page: 343
Difficulty: medium
[Reveal] Spoiler: OA

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Re: Of the following, which is the greatest speed, in miles per [#permalink] New post 19 Jan 2016, 14:52
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Solution

Since the total stopping distance is the sum of the distance traveled during reaction time and the distance traveled after the brakes have been applied, you need information from both graphs to answer this question. A good strategy for solving this problem is to calculate the total stopping distance for the speeds given in the options. For a speed of 50 miles per hour, the distance traveled during reaction time is about 55 feet, and the distance traveled after the brakes have been applied is 137 feet; therefore, the total stopping distance is about 55+137, or 192 feet. For a speed of 55 miles per hour, the distance traveled during reaction time is about 60 feet, and the distance traveled after the brakes have been applied is about 170 feet; therefore, the total stopping distance is about 60+170, or 230 feet. Since the speeds in the remaining choices are greater than 55 miles per hour and both types of stopping distances increase as the speed increases, it follows that the total stopping distances for all the remaining choices are greater than 200 feet.

The correct answer is \(A.\)
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Re: Of the following, which is the greatest speed, in miles per [#permalink] New post 20 May 2019, 14:49
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Carcass wrote:
Attachment:
#GREpracticequestion Of the following, which is the greatest speed.jpg


Note: Total stopping distance is the sum of the distance traveled during reaction time and the distance traveled after brakes have been applied.

Of the following, which is the greatest speed, in miles per hour, at which the car can travel and stop with a total stopping distance of less than 200 feet?

A. 50

B. 55

C. 60

D. 65

E. 70



I suggest we start with the MIDDLEMOST answer choice (60 mph)
When we scan the right-side graph, we see that, at 60 mph, the stopping distance is 198 feet.
So, when we combine that to the distance traveled during reaction time, we will surely exceed 200 feet.

So, we can ELIMINATE answer choices C, D and E

We're left with B and A
Let's check answer choice B (55mph)


Image
At 55 mph, the distance traveled during reaction time = 60 feet (see left-hand graph)
At 55 mph, the distance traveled after brakes have been applied ≈ 165 feet (see right-hand graph)
So, the TOTAL stopping distance ≈ 60 + 165 ≈ 225 feet
TOO much.
ELIMINATE B

By the process of elimination, the correct answer is A

Cheers,
Brent
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Re: Of the following, which is the greatest speed, in miles per   [#permalink] 20 May 2019, 14:49
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