X, Y, Z start at the same time in the same direction to run around a circular stadium. X completes a round in 63 seconds, Y in 105 seconds and Z in 210 seconds. If they start at the same time, then at what time will they meet again at the starting point?Options :A] 9 min 9 secondsB] 10 min 30 secondsC] 10 min 6 secondsD] 8 min 4 seconds
Question
X, Y, Z start at the same time in the same direction to run around a circular stadium. X completes a round in 63 seconds, Y in 105 seconds and Z in 210 seconds. If they start at the same time, then at what time will they meet again at the starting point?Options :A] 9 min 9 secondsB] 10 min 30 secondsC] 10 min 6 secondsD] 8 min 4 seconds
Solution
To solve this problem, we need to find the least common multiple (LCM) of the times it takes for X, Y, and Z to complete a round. The LCM of 63, 105, and 210 seconds is 630 seconds. Therefore, X, Y, and Z will meet again at the starting point 630 seconds after they start, which is equivalent to 10 minutes and 30 seconds. So, the answer is B] 10 min 30 seconds.
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