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14 November, 07:51

On monday, roger drove to work in 20 minutes. on tuesday, he averaged 15 miles per hour more, and it took him 6 minutes less to get to work. how far in miles does he travel to work?

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  1. 14 November, 09:08
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    Let the distance to his office be x, then

    On monday, speed = x/20 miles per minutes = 3x miles per hour

    On tuesday, speed = (3x + 15) miles per hour

    Time = distance / speed

    (20 - 6) / 60 hours = x / (3x + 15) hours

    7/30 = x / (3x + 15)

    7 (3x + 15) = 30x

    21x + 105 = 30x

    30x - 21x = 105

    9x = 105

    x = 105/9 = 11.7 miles

    Therfore he travels an average of 11.7 miles to work.
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