Time, Speed & Distance · Question 28 · Hard
Time, Speed & Distance question 28
Three runners start together from the same point on a 1,200 m circular track and run in the same direction at 4 m/s, 6 m/s and 9 m/s. After how many seconds will all three be together again for the first time?
- 240 seconds
- 400 seconds
- 600 seconds
- 1,200 seconds
Answer and explanation
Answer: D. 1,200 seconds
Explanation: The other two runners gain on the slowest at 2 m/s and 5 m/s, so all three are together when 2t and 5t are both multiples of 1,200: t must be a multiple of 600 and of 240. The least such t is LCM(600, 240) = 1,200 seconds.
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