Question

Two trains leave towns 476 kilometers apart at the same time and travel toward each other. One train travels 22 km/h faster than the other. If they meet in 2 hours, what is the rate of each train?

Answer 1

Train 1: 130 km/h

Train 2: 108 km/h

Explanation:

Let train 1 be the faster train.

Train 1:

distance = d

speed = s

time = 2 hours

Train 2:

distance = 476 - d

speed = s - 22

time = 2 hours

speed = distance/time

distance = speed × time

Train 1:

d = 2s

Train 2:

476 - d = 2(s - 22)

d = 2s

476 - d = 2s - 44

d = 2s

476 - 2s = 2s - 44

520 = 4s

s = 130

s - 22 = 108

Train 1: 130 km/h

Train 2: 108 km/h