the hiker walking at a constant rate of 5 miles per hour is passed by a cyclist traveling in the same direction along the same path at 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? Choose one:
A) 15
B) 10
C) 20
D) 30
E) 35
After passing the hiker the cyclist travels for 5 minutes at a rate of 20 miles/hour.   In those 5 mins the cyclist travels a distance of 5/3 miles.   In those 5 mins the hiker travels a distance of 5/12 miles.   So the hiker still has to cover 15/12 miles to meet the waiting cyclist.   The hiker will need 1/4 hours or 15 mins to cover the remaining 15/12 miles.   So the answer is 15.
<result>A</result>
the hiker walking at a constant rate of 5 miles per hour is passed by a cyclist traveling in the same direction along the same path at 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?