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22 April, 06:46

Timothy leaves home for skedunk 400 miles away. after 2 hours, he has to reduce his speed by 20 mph due to rain. if he takes 1 hour for lunch and gas, and reaches skedunk 9 hours after he left home, what was his initial speed?

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  1. 22 April, 06:54
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    The entire trip took him 9 hours.

    It took him 1 hour for lunch and gas, so he drove for 8 hours.

    He drove a total of 400 miles.

    He drove the first x miles at a higher speed, s, for 2 hours.

    Then he drove the rest of the distance, 400 - x miles, at a lower speed, s - 20, for 6 hours.

    speed = distance/time

    distance = speed * time

    First part of the trip:

    x = s * 2

    x = 2s

    Second part of the trip:

    400 - x = (s - 20) * 6

    400 - x = 6s - 120

    Substitute x = 2s in the equation just above:

    400 - 2s = 6s - 120

    -8s = - 520

    s = 65

    The initial speed is 65 mph.
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