Question

two trains leave towns 831 kilometers apart at the same time and travel toward each other. one train travels 15 km/h faster than the other. if they meet in 3 hours what is the rate of each train?

Answer 1

Two trains leave towns 831 kilometers apart at the same time and travel toward each other.

Distance = d = 831 km

One train travels 15 km/h faster than the other.

Let the speed of the slower train is x km/h

Then the speed of the faster train is (x + 15) km/h

If they meet in 3 hours what is the rate of each train?​

Time = t = 3 hours

Recall that the relationship between speed, distance, and time is given by

`d=s\cdot t`

So we can write

`831=(x+x+15)\cdot3_{}`

Where x is the speed of the slower train and x+15 is the speed of the faster train.

Let us solve the above equation