Multiple choice

Two trains A and B start moving at the same time from P and Q location which are 80 km apart. If the two trains travel in opposite direction from P and Q respectively then they meet each other in 1 hour and if they in the same direction from P and Q respectively then they meet after 8 hours. Find the speed of the train A.

  1. 40 km/hr

  2. 45 km/hr

  3. 64 km/hr

  4. 58 km/hr

  5. 35 km/hr
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let speeds of trains A and B be a km/hr and b km/hr. When moving opposite, relative speed is a + b, so 80/(a + b) = 1, giving a + b = 80. When moving same direction (faster A catching slower B), relative speed is a - b, so 80/(a - b) = 8, giving a - b = 10. Solving: a = 45 km/hr, b = 35 km/hr. Option B is correct.

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