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Algebra II

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A runner completes a 16 mile trip, running 8 miles uphill and 8 miles downhill in a total of 4 hours, if his uphill speed is 3 mph slower than his downhill speed, find his downhill speed.

  • Algebra II - ,

    add up the times
    time = distance/speed

    If his downhill speed is s,
    8/s + 8/(s-3) = 4
    s = 6

    check:
    8 miles @ 3mph = 8/3 hr
    8 miles @ 6mph = 4/3 hr
    total: 4 hr

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