Question 54

Two stations, A and B are 850 km apart from each other. One train starts from station A at 5 am and travels towards station at 62 kmph. Another train starts from station B at 7 am and travels towards station A at 59 kmph. At what time will they meet

Solution

At 7am the distance between the two trains will be 726kms.
Since the trains are moving in opposite directions, the relative speed is the sum of individual speeds.
The relative speed is 121kmph. and the distance is 726 kms.
The time taken to cover 726kms at a speed of 121kmph is nothing but the time taken by the two trains to meet each other.
Time taken to meet = 726/121 = 6 hours
Hence the trains would meet at 1:00 pm.
Hence Option A is the correct answer.


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