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# Travelling with guys who dislike each other.

Best Answer Barcallica, 05 July 2013 - 07:43 AM

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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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### #2 Barcallica

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Posted 05 July 2013 - 07:43 AM   Best Answer

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