Question

Two trains leave the station at the same time, one heading east and the other west. the eastbound train travels at 95 miles per hour. the westbound train travels at 75 miles per hour. how long will it take for the two trains to be 272 miles apart? do not do any rounding.

Answer 1

The east bound train travels at a speed of 95 mile per hour and the west bound train at 75 miles per hour.
Assuming eastbound train will cover distance x then the west bound train will cover distance 272-x .
Therefore, since time taken will be the same then; x/95 = (272-x)/75
          = 75x = 95 (272-x)
          = 75x = 25840 - 95x
          = 170 x= 25840
                     x = 152 miles
Thus time taken will either be x/95 or (272-x)/75
           = 152/95
           = 1.6 hours or 1 hour 36 minutes