Question
A, B, and C run around a Circular track starting from
the same point simultaneously and in the same direction at 6 km/h, 12 km/h, and 18 km/h respectively. If the length of the track is 800 meters, when will A, B, and C meet at the starting point for the first time after they start the race?Solution
Time = Distance/Speed Time for A = 0.8/6 hours Time for B = 0.8/12 hours Time for C = 0.8/18 hours LCM of A, B, C = (LCM of numerator)/ (HCF of Denominator) = (LCM of 0.8,0.8,0.8)/(HCF of 6,12,18) = 0.8/6 hours 0.8/ 6hours = 10 minutes
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