Multiple choice

A train traveling at a constant speed crosses two people running in the same direction in 10.8 seconds and 11.4 seconds, the first one is running at a speed of 4.8 km/hour while the other was at 6.6 km/hour. What is the speed of the train in km/hour?

  1. 39.6

  2. 40.2

  3. 38.4

  4. 39.0
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let train speed = v km/h and length = L km. For first person: L = (v - 4.8) × (10.8/3600). For second: L = (v - 6.6) × (11.4/3600). Equating: (v - 4.8) × 10.8 = (v - 6.6) × 11.4. Solving gives v = 39 km/h.

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