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A, B and C run around a circular track starting from the [#permalink]
23 Mar 2007, 15:00
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A, B and C run around a circular track starting from the same point simultaneously and in the same direction at speeds of 4 kmph, 6 kmph and 8 kmph respectively. If the length of the track is 400 meters, when will A, B and C meet at the starting point for the first time after they started the race?
In the above question, when will they meet for the first time after they started the race?
A goes around once every 6 minutes, B every 4 and C every 3. As LCM(6,4,3)=12, they will be at the starting point once every 12 min.
After t minutes, A B and C have done t/6, t/4 and t/3 laps. After 12 min. they have done 2,3 and 4 laps. Before this time, the number of laps done by A and B differ by less than one lap, so 12 minutes must elapse from the start of the race before they meet