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A train leaves Hyderabad at 6 a.m., travelling at uniform speed reaches Chennai at 2 p.m. Another train leaves Chennai at 7 a.m., travelling at a uniform speed reaches Hyderabad by 3 p.m. When do the two trains meet?
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Let the 1st train be A, 2nd train be B.
Let the distance between Hyderabad and Chennai be D.
They meet after 7 am after T hours.
Given that train leaves Hyderabad at 6.am and reaches Chennai at 2 p.m.
So, the train A covers D in 8 hours. Train B covers D in 8 hours.
So, Speed of the train A = D/8.
So, Speed of the train B = D/8.
The train A leaves 1 hour before train B.
Distance covered by A in (T + 1) hours + Distance covered by B in T hours = D
= > D/8(T + 1) + D/8 * T = D
= > (T + 1)/8 + T/8 = 1
= > 2T = 7
= > T = 7/2 hours
= > T = (7/2) * 60
= > T = 210 minutes
Therefore, The trains meet at 10.30AM.
Hope this helps!
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