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A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?

Question

A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?

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Solution

To find out when A, B, and C will meet again at the starting point, we need to find the least common multiple (LCM) of their individual times.

Step 1: Write down the times A, B, and C take to complete a round: 252 seconds, 308 seconds, and 198 seconds.

Step 2: Find the LCM of these three numbers. The LCM of 252, 308, and 198 is 2772.

So, A, B, and C will all meet again at the starting point after 2772 seconds.

This problem has been solved

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