Problema Solution

TWO TRAINS LEAVE FROM THE SAME POINT AT THE SAME TIME, TRAVELING IN OPPOSITE DIRECTIONS. ONE TRAVELS 13 MPH FASTER THAN THE OTHER. AFTER 4HR. THEY ARE 484 MILES APART. FIND THE RATE OF EACH TRAIN.

Answer provided by our tutors

Let speed of train#1 be x mi/hr

So speed of train#2 would be (x+13) mi/hr

After 4 hours, they would have travelled 4x and 4(x+13) mi respectively

Given that after 4 hours, they are 484 mi apart, so

4x + 4(x+13)= 484

8x + 13 = 484

8x= 484-13 = 432

Hence x =  54 mi/hr

Ans : Rate (speed) of each train is 54 mi/hr and 54+13 = 67 mi/hr