The sum of the speeds of two trains is 723.1 miles per hour. If the speed of the first train is 10.9 mph faster than that of the second trai

Question

The sum of the speeds of two trains is 723.1 miles per hour. If the speed of the first train is 10.9 mph faster than that of the second train, find the speeds of each.
What is the speed of the first train?

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Gia Bảo 3 weeks 2021-08-22T19:11:47+00:00 1 Answers 0 views 0

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    2021-08-22T19:13:08+00:00

    9514 1404 393

    Answer:

      367 miles per hour

    Step-by-step explanation:

    The speed of the faster train is half the total plus half the difference:

      s1 = (723.1 +10.9)/2 = 367 . . . . miles per hour

    _____

    Check

    The slower train is 367-10.9 = 356.1, and the total is 723.1 mph, as required.

    _____

    If you want an equation, you can let x represent the faster speed. Then the total is …

      x + (x -10.9) = 723.1

      2x = 723.1 +10.9

      x = (723.1 +10.9)/2 = 367

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