The distance between two stations is 340 km. Two trains start simultaneously from these stations on parallel tracks to cross each other. The speed of one of them is greater than that of the other by 5 km/hr. If the distance between the two trains after 2 hours of their start is 30 km, find the speed of each train.

Explanation

Let the speed of one train `=x `km/h
The speed of another train `=(x+5)`km/h
The distance travelled by first train in two hour`=xtimes2=2x`
The distance travelled by another train`=2(x+5)=2x+10`
According to the question
`4x+10=310`
`4x=310-10=300`
`x=300/4=75`km/h
`therefore` The speed of one train `=75`km/h
The speed of other train`=x+5=75+5=80`km/h.