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 10 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?
Pick:  A) 10  B) 15  C) 20  D) 15/2  E) 24
After passing the hiker the cyclist travels for 5 minutes at a rate of 10 miles/hour.   In those 5 mins the cyclist travels a distance of 5/6 miles.   In those 5 mins the hiker travels a distance of 1/2 miles.   So the hiker still has to cover 1/2 miles to meet the waiting cyclist.   The hiker will need 15/2 mins to cover the remaining 1/2 miles.   So the answer is 15/2.
<result>D</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 10 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?