the 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 15 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?
Select the correct option.
A) 20 B) 55/4 C) 25 D) 14 E) 13
After passing the hiker the cyclist travels for 5 minutes at a rate of 15 miles/hour.   In those 5 mins the cyclist travels a distance of 5/4 miles.   In those 5 mins the hiker travels a distance of 1/3 miles.   So the hiker still has to cover 11/12 miles to meet the waiting cyclist.   The hiker will need 55/4 mins to cover the remaining 11/12 miles.   So the answer is 55/4.
<result>B</result>
the 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 15 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?