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Question

The distance between the two stations was 550 km. Two trains start at same time from the two station on parallel track to cross one another .The speed of one train is 10 km per hour more than the other . If after 3 hours the train reaches 40 km, find their speed?

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Solution

Let the trains be A and B.

Speed of train A=x km/h

Speed of train B=(x+10) km/h

Since, the Distance=Speed×Time

So, after 3 hours,

distance travelled by train A=3x km

distance travelled by train B=3(x+10) km

Now distance between them is 40 km

So 3x+3(x+10)=550−40

⇒3x+3x+30=510

⇒6x+70=510

⇒6x=550–70

⇒6x=480

⇒x=4806

⇒x=80---(1)

⇒x+10=80+10=90

Therefore, Speed of train A=80 km/h

Speed of train A=(80+10) km/h=90 km/h

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