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Question

Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?

Options:
A .  9 a.m.
B .  10 a.m.
C .  10.30 a.m.
D .  11 a.m.
Answer: Option B

Suppose they meet x hours after 7 a.m.


Distance covered by A in x hours = 20x km.


Distance covered by B in (x - 1) hours = 25(x - 1) km.


Therefore 20x + 25(x - 1) = 110


 45x = 135


 x = 3.


So, they meet at 10 a.m.


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