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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]  19 Jan 2016, 14:51
Expert's post
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Question Stats:

62% (01:25) correct 37% (00:34) wrong based on 8 sessions

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

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

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Moderator
Joined: 18 Apr 2015
Posts: 5150
Followers: 77

Kudos [?]: 1030 [0], given: 4640

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