VNS,Math

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A man walked into the road at 4 miles per hour and returned over the same road at the rate of 3 miles per hour. If he completed the entire trip in 7/2 hours,how far in miles in to the roads did he walk?

  • VNS,Math -

    let distance he went each way be x miles
    time for first leg = x/4
    time for 2nd leg = x/3

    x/4 + x/3 = 7/2
    times 12
    3x + 4x = 42
    x = 6

    he went 6 miles into the road

    check:
    time for 1st part = 6/4 hrs
    time for 2nd part = 6/3 hrs
    and 6/4 + 2 = 3/2 + 2 = 7/2

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