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algebra

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The speed of a passenger train is 16 mph faster than the speed
of a freight train. The passenger train travles 300 miles in
the same time it takes the freight train to travel 220 miles.
find the speed of each train

  • algebra -

    speed of freight --- x mph
    speed of passenger --- x+16 mph

    freight can go 220 miles in 220/x hours
    pass. can go 300 miles in 300/(x+16) hrs

    but those times are the same ....
    220/x = 300/(x+16)
    cross-multiply
    300x = 220x + 3520
    80x = 3520
    x = 44

    the freight goes 44 mph and the passenger train goes 60 mph

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