Multiple choice

Train P, whose length is 328 m can cross a 354 m long platform in 22 seconds. Train Q can cross the same platform in 24 seconds. If the speed of train Q is (\frac{7}{8})th of the speed of train P, what is the length (in meter) of train Q?

  1. 321

  2. 303

  3. 297

  4. 273

  5. 309
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Train P: Speed = (328 + 354)/22 = 682/22 = 31 m/s. Train Q speed = (7/8) × 31 = 27.125 m/s. Let Q's length be L: (L + 354)/24 = 27.125, so L + 354 = 651, giving L = 297 m. Answer C is correct.

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