Algebra 2 (Distance Problem)

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A train leaves Union Station for Central Station, 216 km away, at 9 A.M. One hour later, a train leaves Central Station for Union Station. They meet at noon. If the second train had started at 9 A.M., and the first train at 10:30 A.M., they would still have met at noon. Find the speed of each train.

  • Algebra 2 (Distance Problem) -

    Let c be the speed of the train leaving Central
    Let u be the speed of the train leaving Union

    The total distance in either case is 216 km.

    3u + 2c = 216
    1.5c + 3u = 216

    Solve these and you get
    c=54
    u=36

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