Multiple choice

Two passenger trains are travelling on parallel tracks. The first train, which is 220 metres long, crosses a signal post in 20 seconds. The second train, which is travelling 6 km/h slower than the first train, takes 25 seconds to cross a similar signal post. When the two trains pass each other, they do so in 30 seconds. What is the length of the second train, in metres?

  1. 330 m

  2. 360 m

  3. 390 m

  4. 420 m

  5. 450 m
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Train 1 speed = 220/20 = 11 m/s. Train 2 speed = 11 - (6 * 5/18) = 11 - 1.67 = 9.33 m/s. Relative speed = 11 + 9.33 = 20.33 m/s. Total distance = (L1 + L2) = 20.33 * 30 = 610. L2 = 610 - 220 = 390.

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