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Yuri placed fourth in a race with an average lap time

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Director
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Yuri placed fourth in a race with an average lap time [#permalink] New post 28 Sep 2017, 11:15
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Question Stats:

33% (02:11) correct 66% (02:29) wrong based on 3 sessions
Yuri placed fourth in a race with an average lap time of 75 seconds. Kwame’s average lap time was 10% less than Yuri’s, and Miguel’s average lap time was 5% less than Kwame’s. Vann’s average lap time was 8% less than Miguel’s. Which of the following average lap times would have allowed Yuri to place second overall out of the four runners?

Indicate all such times.

A. 58 seconds
B. 60 seconds
C. 62 seconds
D. 65 seconds
E. 66 seconds

[Reveal] Spoiler:
B & C
[Reveal] Spoiler: OA

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Director
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Re: Yuri placed fourth in a race with an average lap time [#permalink] New post 30 Sep 2017, 05:06
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Starting from the lap time of Yuri, 75 sec,

the time of Kwame is equal to (1-0.10)*75 = 67.5

the time of Miguel is equal to (1-0.05)*67.5 = 64.125

the time of Vann is equal to (1-0.08)*64.125 = 58.995

Thus, the arrival order is 1st Vann, 2nd Miguel, 3rd Kwame and 4th Yuri. In order to arrive second, Yuri should have a time between 64.125 and 58.995 a lap.

Only answers B and C lie in this interval, so that they are our answers!
Re: Yuri placed fourth in a race with an average lap time   [#permalink] 30 Sep 2017, 05:06
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Yuri placed fourth in a race with an average lap time

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