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A long distance trucker traveled 240 miles in one direction during a snow storm. The return trip in rainy weather was accomplished at double the speed and took 5 hours less time. What is the speed going.

  • math -

    Time of first trip = 240/x
    time of return trip = 240/(2x)

    240/x - 240/2x = 5
    multiply each term by 2x
    480 - 240 = 10x
    10x = 240
    x = 24

    speed on first trip was 24 mph
    speed on return trip was 48 mph

    check:
    time for 1st trip = 240/24 = 10 hrs
    time for 2nd trip - 240/48 - 5 hrs, which is 5 hrs less.

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