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Warren and Rubin race around an oval track. Warren runs at a uniform

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Warren and Rubin race around an oval track. Warren runs at a uniform [#permalink]

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New post 09 Nov 2015, 23:26
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Question Stats:

65% (02:33) correct 35% (02:08) wrong based on 173 sessions

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Warren and Rubin race around an oval track. Warren runs at a uniform rate of one lap every 7 minutes, and Rubin runs at a uniform rate of one lap every 5 minutes. If they both start at the same time. How many minutes will it take for Rubin to get exactly one lap ahead of Warren.

(A) 12
(B) 13 1/2
(C) 15
(D) 16.7
(E) 17.5
[Reveal] Spoiler: OA

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Re: Warren and Rubin race around an oval track. Warren runs at a uniform [#permalink]

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Warren runs at a rate of 1 lap every 7 mins
Rubin runs at a rate of 1 lap every 5 mins
In 7 mins , Rubin must have completed 2/5th of an additional lap by the time Warren completes Warren's first lap.
Time taken for Rubin to get exactly one lap ahead of Warren = 5/2 * 7 mins = 17.5 mins

Answer E
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Warren and Rubin race around an oval track. Warren runs at a uniform [#permalink]

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I plugged in the values.

by the the time Rubin completed 3 laps in 15 minutes , Warren completed only 15/7 ~2.1 of the lap

plug in 17.5 and we get 17.5/5 = 3.5 rounds for Rubin and 17.5/7 = 2.5 Rounds for for warren
The difference is thus 1 round so :E 17.5 is the answer
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Warren and Rubin race around an oval track. Warren runs at a uniform [#permalink]

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Warren and Rubin race around an oval track. Warren runs at a uniform rate of one lap every 7 minutes, and Rubin runs at a uniform rate of one lap every 5 minutes. If they both start at the same time. How many minutes will it take for Rubin to get exactly one lap ahead of Warren.

(A) 12
(B) 13 1/2
(C) 15
(D) 16.7
(E) 17.5

W runs 1/7, or 5/35, laps per minute
R runs 1/5, or 7/35, laps per minute
R gains 2/35 laps per minute on W
1 lap/(2/35) laps per minute=17.5 minutes
E

Originally posted by gracie on 10 Nov 2015, 15:30.
Last edited by gracie on 01 Dec 2017, 16:51, edited 2 times in total.
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Re: Warren and Rubin race around an oval track. Warren runs at a uniform [#permalink]

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Re: Warren and Rubin race around an oval track. Warren runs at a uniform   [#permalink] 01 Dec 2017, 07:07
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