Question

A train leaves a station X at 13 15 and reaches at its destination station Y at 15 30. What is the time taken by the train to complete its journey in hours?

Answer 1

Answer:

Time taken by train 1 from x to y = 4 hours

It travels for 2 hours before train 2 starts.

Time taken by train 2 from y to x = 3.5 hours

Let distance between x & y = LCM(4,3.5) = 28 kms

Speed of Train 1 = 28/4 = 7 kmph

Speed of Train 2 = 28/3.5 = 8 kmph

Train 1 covers 7 x 2 = 14 km by the time Train 2 starts at 7 AM.

So, distance between the two trains at 7 AM is 28 - 14 = 14km

Relative speed = 7 + 8 = 15 kmph

Time taken to cross each other = 14/15 hours or 56 minutes.

=> They meet at 7:56 AM.

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