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Question

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 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.

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Solution

let the speed of first train is x km/h

Then the speed of another train is (x+5) km/h

Since, Distance = Speed × Time

Distance travelled by first train in two hour =x×2=2x

Distance travelled by another train =(x+5)×2=2x+10

The total distance travelled by two trains =2x+2x+10=4x+10 ---(1)

Since, the distance between the two trains after 2 hours is 30 km.

The distance between two stations is 340 km

Total distance travelled by two trains =340 km30 km=310 km. ---(2)

From (1) and (2)

4x+10=310

4x=31010=300

x=3004

Therefore, the speed of the first train =75 km/h

Speed of another train =75+5=80 km/h


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