Suppose two trains leave a certain station, at the same time, traveling in opposite directions. One train travels 30 mph faster than the other. In 2.5 hours, the trains are 205 miles apart. Find the speed of each train


Respuesta :

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Answer:

  56 mph, 26 mph

Step-by-step explanation:

The trains are separating at the rate of (205 mi)/(2.5 h) = 82 mi/h. If we let s represent the speed of the slower train, then that sum of their speeds is ...

  s + (s+30) = 82

  2s = 52 . . . . . . . . . . subtract 30

  s = 26 . . . . . . . . . divide by 2

  s +30 = 56 . . . the speed of the other train

The speeds of the two trains are 56 mph and 26 mph.