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Murljashka [212]
3 years ago
11

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?
Mathematics
1 answer:
Komok [63]3 years ago
8 0

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

_____

<em>Check</em>

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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