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A marathon runner starts the 26 mile run at 7.30 AM and reaches the

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Joined: 18 Feb 2019
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GMAT 1: 460 Q42 V13
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A marathon runner starts the 26 mile run at 7.30 AM and reaches the  [#permalink]

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New post 30 Mar 2019, 06:05
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Difficulty:

  65% (hard)

Question Stats:

59% (03:42) correct 41% (03:39) wrong based on 22 sessions

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A marathon runner starts the 26 mile run at 7.30 AM and reaches the finish line at 9.45 AM. If he runs at a constant speed throughout the marathon and water stations are put up along the route of the marathon after every 500 metres, which of the following is the closest to the time taken by the runner to go from one water station to the next one? (1 mile = 1.6 kilometres)

A. 1 minute 10 seconds
B. 1 minute 20 seconds
C. 1 minute 30 seconds
D. 1 minute 40 seconds
E. 1 minute 50 seconds
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Re: A marathon runner starts the 26 mile run at 7.30 AM and reaches the  [#permalink]

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New post 30 Mar 2019, 10:17
Total Distance traveled is 26 miles = 26*16/10 km = 41.6km = 41600 meters.
Water stand after every 500 meters, i.e, 41600/500 = 83 water stands.
Time taken to complete the marathon is 2hr 15min or 135 minutes.
Time taken by the runner to go from one stand to another is 135/83 = \(1\frac{52}{83}\) half of 83 is 41.5. So time taken is more than 30 sec.
hence the answer is 1min 40 sec
D is the answer.
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Re: A marathon runner starts the 26 mile run at 7.30 AM and reaches the   [#permalink] 30 Mar 2019, 10:17
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A marathon runner starts the 26 mile run at 7.30 AM and reaches the

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