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Stations A and B are 220 km apart. A train leaves towards station B with speed of 40 km/hr at 10 pm. Another train leaves towards station A from station B with speed of 50 km/hr at 11 pm. At what time both trains meet?

  • A.12 pm
  • B.2 am
  • C.1 am
  • D.1 pm

Answer: C

The first train has a one-hour head start.

\[ \text{covered by 11 pm} = 40 \times 1 = 40 \text{ km} \]

\[ \text{gap remaining} = 220 - 40 = 180 \text{ km} \]

From 11 pm they approach at \( 40 + 50 = 90 \) km/hr:

\[ t = \frac{180}{90} = 2 \text{ hours} \]

So they meet at 1 am. Ignoring the head start would give a meeting at about 12:27 am.

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