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A hiker walking at a constant rate of 4 miles per hour is passed by a

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A hiker walking at a constant rate of 4 miles per hour is passed by a [#permalink] New post   16 Apr 2022, 04:23
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A hiker walking at a constant rate of 4 miles per hour is passed by a cyclist traveling in the same direction along the same path at a constant rate of 20 miles per hour. The cyclist stops to wait for the hiker 5 minutes after passing her, while the hiker continues to walk at her constant rate. How many minutes must the cyclist wait until the hiker catches up?

A. 6 2/3
B. 15
C. 20
D. 25
E. 26 2/3
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Re: A hiker walking at a constant rate of 4 miles per hour is passed by a [#permalink] New post   16 Apr 2022, 06:28
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A hiker walking at a constant rate of 4 miles per hour is passed by a cyclist traveling in the same direction along the same path at a constant rate of 20 miles per hour. The cyclist stops to wait for the hiker 5 minutes after passing her, while the hiker continues to walk at her constant rate. How many minutes must the cyclist wait until the hiker catches up?


Speed of the cyclist = 20 miles per hour
Distance travelled by cyclist in 5 minutes = 20 * 5/60 = 5/3 mile

Speed of the hiker = 4miles per hour
Distance travelled by hiker in 5 minutes = 4* 5/60 = 1/3 mile

Distance between cyclist and hiker after 5 minutes = 5/3 - 1/3 = 4/3 mile

Time taken by hiker to cover this distance = (4/3)/4 = 1/3 hour = 20 min

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Re: A hiker walking at a constant rate of 4 miles per hour is passed by a [#permalink]
16 Apr 2022, 06:28
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