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 ?Options :26 minutes 18 seconds42 minutes 36 seconds45 minutes46 minutes 12 seconds
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 ?Options :26 minutes 18 seconds42 minutes 36 seconds45 minutes46 minutes 12 seconds
Solution
To solve this problem, we need to find the least common multiple (LCM) of the times it takes for A, B, and C to complete a round. The LCM will give us the time it takes for all three to be back at the starting point at the same time.
Here are the steps:
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Convert the times from seconds to minutes to make the calculation easier. A completes a round in 252 seconds (or 4.2 minutes), B in 308 seconds (or 5.13 minutes), and C in 198 seconds (or 3.3 minutes).
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Find the LCM of these three times. The LCM of 4.2, 5.13, and 3.3 is approximately 42.36 minutes.
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Convert this time back to seconds for the final answer. 42.36 minutes is approximately 2536 seconds.
So, A, B, and C will all be back at the starting point at the same time after approximately 42 minutes and 36 seconds. Therefore, the correct option is 42 minutes 36 seconds.
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