Q: The T1 train departs Ahmedabad at 7 a.m. and arrives in Mumbai at 12 p.m. The T2 train departs Mumbai at 7 a.m. and arrives in Ahmedabad at 1 p.m. When did the two trains intersect?

A 9.43 am
B 7.43 am
C 10.00 am
D 09.00 am
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Answer: A


The distance between the two stations is given as x.

Train T1 takes 5 hours to reach Mumbai and train T2 takes 6 hours to reach Ahmedabad.

The relative speed of the two trains is given as the sum of their individual speeds, which is x/5 + x/6 = 11x/30.

The time taken for the trains to pass each other is given as x/11x/30 = 30/11.

The time taken for the trains to pass each other can be expressed in hours as (30/11) hours = 2.43 hours.

The time at which the trains pass each other is given as 7 a.m. + 2.43 hours = 9.43 a.m.

Therefore, the trains will pass each other at 9.43 a.m

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