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QThe 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?
ID: #4683
Time and Distance
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#4683Q ID
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Time and DistanceTopic
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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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