Multiple choice

A train crosses a standing man in 6 seconds and a 210 m long platform in 16 seconds. What is the length and the speed of the train?

  1. 126m and 21 m/s

  2. 130m and 24 m/s

  3. 126m and 42 m/s

  4. 130m and 22 m/s

  5. 140m and 28 m/s
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let L be length and v be speed. L = 6v. L + 210 = 16v. Substituting L: 6v + 210 = 16v => 10v = 210 => v = 21 m/s. Then L = 6 * 21 = 126 m.

AI explanation

Using the formula distance equals speed multiplied by time, let the train length be L and its speed be S. From the man crossing, S equals L divided by 6. When crossing the 210 m platform in 16 seconds, L plus 210 equals 16 times S. Substituting L divided by 6 for S gives L plus 210 equals 16 times L divided by 6, so L equals 126 m. The speed is 126 divided by 6, which is 21 m/s.

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