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Speed of passenger train is 6mph faster than the freight train. The passenger train travels 260 miles at the same time the freight train travels 230 mph. WHAT would be the speed of both the passenger and freight trains?????

  • Algebra -

    speed of freight --- x mph
    speed of passenger --- x+6 mph

    time to go 230 by freight = 230/x
    time to go 260 by pass = 260/(x+6)
    but they are equal, so
    230/x = 260/(x+6)
    260x = 230x + 1380
    30x = 1380
    x = 46

    speed of freight is 46 mph , and the passenger train is 52 mph

    check: 230/52 = 1/5 hrs
    230/46 = 1/5 hr
    all is good

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