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6 June, 23:49

A boy leaves on a bicycle trip at the rate of 8 mph. One hour later the father, realizing that his son forgot his camping gear, sets out by car. How fast must the father drive to overtake the boy in 15 minutes?

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  1. 7 June, 01:14
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    1st equation to find out how far boy will have traveled in 1hr 15 minutes:

    8/1=x/1.25 (8 miles over 1 hour = x miles over 1.25 hours)

    8 (1.25) = 1 (x)

    10 = x

    Now, divide 10 by. 25 (15 minutes aka 1/4 hour) to get the speed father will have to drive.

    10/.25 = x/1

    x = 40 MPH
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