Two trains leave towns 483mi apart at the same time and travel toward each other. One train travels 13mi/h faster than the other. If they meet in 3 hou

Question

 Two trains leave towns 483mi apart at the same time and travel toward each other. One train travels 13mi/h faster than the other. If they meet in 3 hours, what is the rate of each train

Answer 1

Distance = (Rate)(Time)

 

Let x = speed of slower train

      x + 13 = speed of faster train

 

The trains meet when the sum of the distances = 483

 

3x + 3(x+13) = 483

 

6x + 39 = 483

 

6x = 444

 

  x = 74 mph

 

The speeds are 74 mph and 87 mph.