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1. 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?

A. 9 a.m.

B. 10 a.m.

C. 10.30 a.m.

D. 11 a.m.

Solution:

\begin{aligned} 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) k m \\ ∴ 20 x + 25 (x - 1) = 110 \\ \Rightarrow 45 x = 135 \\ \Rightarrow x = 3 \\ So, they meet at 10 a .m . \end{aligned}

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