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tricky question
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grandh01
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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 for 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?
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GMATGuruNY
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Rate and time are RECIPROCALS.grandh01 wrote: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 continue to walk at her constant rate. How many minutes must the cyclist wait until the hiker catches up?
The RATE RATIO = hiker : cyclist = 4:20 = 1:5.
Thus, the TIME RATIO = hiker : cyclist = 5:1.
The implication is that the hiker will take 5 TIMES AS LONG as the cyclist to travel the same distance.
Thus, the hiker will need 25 minutes to travel the distance traveled by the cyclist in 5 minutes.
Thus, the cyclist will have to wait 20 minutes for the hiker to catch up.
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
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I think the questions needs some modification, because the phrase cyclist stops for 5 min could be understood as cyclist waited for 5 min, at the same time question asks for how long cyclist waited, that means the question should state something like: 5 minutes after passing the cyclist waited the hiker...grandh01 wrote: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 for 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?
