Question : A train left New Delhi for Chennai at 10 AM with a speed of 70 km/hr . Another Train also left New Delhi for Chennai at 11 AM with a speed of 90 km / hr . At what time 2nd Train will overtake the first train .

Solution: The main point of understanding this sum is that the distance where the 2nd train will overtake the first one will be same . Also the time taken by the first trains will be 1 hr more than the 2nd trains.

Also remember that the slower train will take more time than the faster train.

Therefor we can create in one line . 90t = 70 (t+1) <br /> where t = time taken by the 2nd trains . * See solution in the image also. the distances are equal . 90t-70t=20t :. t=70/20 :. t=3.5 Hrs Therefor 2nd trains will overtake first one at (11 + 3.5) Hrs . I. e. At 14:30 hrs or 2:30 pm .

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