tonebeeze 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 kier 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
OA = C
Since the rate of the cyclist is 20/4 = 5 times the rate of the hiker, the hiker will take 5 times as long to travel the same distance as the cyclist.
The cyclist travels for 5 minutes.
Thus, the hiker needs 5*5 = 25 minutes to travel the same distance.
Since the hiker also has been traveling for 5 minutes when the cyclist stops, the hiker needs 25-5 = 20 more minutes to catch up to the cyclist.
The correct answer is
C.
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