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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?
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?
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Solution
The correct option is B 10 a.m.
Suppose they meet x hours after 7 a.m.
Distance covered by A in x hours = 20 x km.
Distance covered by B in (x - 1) hours = 25(x - 1) km.
∴20x+25(x−1)=110
⇒45x=135
⇒x=3
So, they meet at 10 a.m.
Suppose they meet x hours after 7 a.m.
Distance covered by A in x hours = 20 x km.
Distance covered by B in (x - 1) hours = 25(x - 1) km.
∴20x+25(x−1)=110
⇒45x=135
⇒x=3
So, they meet at 10 a.m.
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