Question
A, B and C start running at the same time and at the
same point in the same direction in a circular stadium. A completes a round in 720 seconds, B in 1080 seconds and C in 1800 seconds. After what time will they meet again at the starting point?Solution
Factors of 720 = 2 Ă— 2 Ă— 2 Ă— 2 Ă— 3 Ă— 3 Ă— 5 Factors of 1080 = 2 Ă— 2 Ă— 2 Ă— 3 Ă— 3 Ă— 3 Ă— 5 Factors of 1800 = 2 Ă— 2 Ă— 2 Ă— 3 Ă— 3 Ă— 5 Ă— 5 LCM = 23 x 33 Ă— 5 Â = 1080 seconds Thus, required time = 1080 seconds = 18 minutes
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