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Travelling with guys who dislike each other.
Posted 05 July 2013 - 02:19 AM
Bob, Peter, and Paul desire to travel together. Peter and Paul dislike each other and as a result refuse to ride with one another. Bob has agreed to drive each one following a creative system. With the car covering c miles per hour, the three people adopted the following scheme: Paul rides in the car with Bob, Peter walks. After a while, Bob drops off Paul, who begins walking; Bob returns to pick up Peter, and then Bob and Peter ride in the car till they overtake Paul. At this point, they change: Paul rides and Peter walks just as they started and the whole procedure is repeated as often as necessary. Both Paul and Peter walk at the same speed, covering p miles per hour.
A. How much progress (how many miles) does the company make per hour?
B. What fraction of the travel time does the car carry only person?
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