There is a circular path around a sports field. Anish takes 24 minutes to drive one round of the field, While Ajay takes 18 minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. After How many minutes will they meet again at the starting point.
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Answer: 72 minutes
time taken by anish to drive one round = 24 minutes
time taken by ajay to drive one round = 18 minutes
time taken by both to meet again = LCM of 24 and 18
24 = 2 * 3 * 2 * 2 = 2^3 * 3
18 = 2 * 3 * 3 = 3^2 * 2
LCM OF 24 AND 18 = 2^3 * 3^2 = 8 * 9 = 72
TIME TAKEN BY BOTH TO MEET AGAIN = 72 MINUTES
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