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24 May, 20:41

Your brother and sister took turns driving on a 580 mile trip that took 10 hours to complete. your brother drove at a constant speed of 55 miles per hour and your sister drove at a constant speed of 60 miles per hour. how long did each person drive.

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  1. 24 May, 22:13
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    Let the time the boy drove be x and that the girl drove be y:

    x+y=10

    thus

    x=10-y ... i

    distance=speed*time

    the distance each one drove will be:

    55x+60y=580 ... ii

    substituting i in ii we get:

    55 (10-y) + 60y=580

    550-55y+60y=580

    5y=30

    y=6 hours

    thus

    x=10-6=4 hours

    hence the boy drove for 4 hours and the girl for 4 hours
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