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A train leaves Guwahati at 4:00 pm and reaches NJP at 8:00 pm. Another train leaves NJP at 6:00 pm and reaches Guwahati at 9:30 pm. At what time do the two trains meet each other.

A train leaves Guwahati at 4:00 pm and reaches NJP at 8:00 pm. Another train leaves NJP at 6:00 pm and reaches Guwahati at 9:30 pm. At what time do the two trains meet each other. Correct Answer 8:56 pm

Given:

Time taken by train to reach NJP from Guwahati = 4 h

Time taken by another train to reach Guwahati from NJP = 3.5 h = 7/2 h

Formula used:

Time = Distance/Speed

Concept Used:

Relative Speed = Speed of one object with respect to other object

If two object of Speed V1 and V2, respectively travels in opposite direction, Relative Speed = |V1 + V2|

Calculations:

Let Total distance between Guwahati and NJP be x km

Speed of first train = (x/4) km/h

Speed of second train = (x/3.5) km/h

First train left 2 h earlier, so distance travelled in 2 h = x/4 × 2 = x/2 km

Now, Distance between the trains = x – x/2 = x/2

Relative speed = x/4 + x/3.5 = 15x/28 km/h

Time taken to meet = x/2/(15x/28) = (14/15) h = 56 min

∴ Trains will meet at 8:56 pm 

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