Two Stations A and B are 120 km apart. One train starts from A at 6.00 a m. and travels towards B at a speed of 40 km per hour and at the same time another train starts from B travels towards A at a speed of 60 km per hour. Find when and where they will meet
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Answer:
Let’s first calculate where train A is at 8 AM. It started at 7AM, at a speed of 20 km/hr. So at 8AM, it had traveled for exactly one hour, so it had traveled 20 km.
At 8 AM, the distance between the two trains is 110 - 20 km or 90 km.
Let’s work in the frame of reference of train A. For someone on train A, train B is traveling towards it with a speed of 20 + 25 km/hr or 45 km/hr. (They are moving towards each other).
The distance between the two trains at 8 AM is 90 km.
So the time taken by train B to travel to train A would be 90 km / 45 km/hr
which is 2 hours.
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