Three friends A, B and C start running around a circular stadium and complete a single round in 24 seconds, 36 seconds and 30 seconds respectively. After how many minutes will they meet again at the starting point?

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Solution

The correct option is B 6
$24 = 2 \times 2 \times 2 \times 3 36 = 2 \times 2 \times 3 \times 3 30 = 2 \times 3 \times 5 L . C . M = 2 \times 2 \times 2 \times 3 \times 3 \times 5 = 360$
Hence, all three friends will meet again after 360 seconds.
i.e., $\frac{360}{60} = 6$ minutes

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Three friends A, B and C start running around a circular stadium and complete a single round in 24 seconds, 36 seconds and 30 seconds respectively. After how many minutes will they meet again at the starting point?

The correct option is B 624=2×2×2×336=2×2×3×330=2×3×5L.C.M=2×2×2×3×3×5=360 Hence, all three friends will meet again after 360 seconds. i.e., 36060=6 minutes

The correct option is B 6
$24 = 2 \times 2 \times 2 \times 3 36 = 2 \times 2 \times 3 \times 3 30 = 2 \times 3 \times 5 L . C . M = 2 \times 2 \times 2 \times 3 \times 3 \times 5 = 360$
Hence, all three friends will meet again after 360 seconds.
i.e., $\frac{360}{60} = 6$ minutes