Problem Solving - 33

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?

A. 20/3
B. 15
C. 20
D. 25
E. 80/3

Answer: C

Hiker's relative speed = 16 m/h
Hiker traveled in 5 min: 16 * 5/60 = 4/3 miles.
Time taken by hiker to cover 4/3 miles: 4/(4/3) = 1/3 hrs = 20 minutes