the hiker walking at a constant rate of 4 miles per hour is passed by a bike traveling in the same direction along the same path at 20 miles per hour. the bike 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 bike wait until the hiker catches up? Options.
A) 16
B) 14
C) 10
D) 15
E) 20
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 1/3 miles.   So the hiker still has to cover 4/3 miles to meet the waiting cyclist.   The hiker will need 1/3 hours or 20 mins to cover the remaining 4/3 miles.   So the answer is 20.
<result>E</result>
the hiker walking at a constant rate of 4 miles per hour is passed by a bike traveling in the same direction along the same path at 20 miles per hour. the bike 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 bike wait until the hiker catches up?