Question

Two trains leave towns 1240 kilometers apart at the same time and travel toward each other. One train travels 18 km/h faster than the other. If they meet in 5 hours, what is the rate of each train?
rate of the faster train:
rate of the slower train:

Answer 1

The rate of the faster train is 23 km per hour while the rate of the slower train is 5 km/hr

How to find the rate  of each train?

The two train travels towards each other and are 1240 km apart.

Therefore,

One train travels 18km/h faster than the other.

speed = distance / time

let

the speed of the other train = x

speed of the faster train = x + 18

Therefore,

distance of the slower train = 5x

distance of the faster train = 5(x + 18)

Therefore,

5x + 5(x + 18) = 1240

5x + 5x + 90 = 1240

10x  = 1240 - 90

10x  = 1150

x = 1150 / 10

x = 115

Rate of the faster train = 5 + 18 = 23 km/her

Rate of the slower train = 5 km/her

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