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18 April, 11:53

Two friends live 3 miles apart along the same road. If they walk toward each other at rates that differ by half mile per hour and meet 24 minutes later, how fast is each person walking

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  1. 18 April, 15:33
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    Answer: their speeds are 3.5mph and 4 mph

    Step-by-step explanation:

    Since both friends live 3 miles apart along the same road, by the time they meet, they would have covered 3 miles.

    Let x represent the speed of the slower friend.

    If differ by half mile per hour, it means that the speed of the faster friend is (x + 0.5) mph

    They meet after 24 minutes (24/60 = 0.4 hours)

    Distance = speed * time

    Distance covered by the slower friend in 0.4 hours is

    x * 0.4 = 0.4x

    Distance covered by the faster friend in 0.4 hours is

    0.4 (x + 0.5) = 0.4x + 0.2

    Since the total distance is 3 miles, then

    0.4x + 0.4x + 0.2 = 3

    0.8x = 3 - 0.2 = 2.8

    x = 2.8/0.8

    x = 3.5 mph

    The speed of the faster friend is

    3.5 + 0.5 = 4 mph
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