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The radius of circular track is 63 m the cyclists X and Y start together from the same position at the same time and in the same direction. With speeds 33m/min and 44m/min. After how many minutes will they meet again at starting point.

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answer is C.

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Detailed Solution

We have radius (r) = 63 m
speed of sonu = 33 m/min
speed of mohit = 44 m/min
Circumference of circular track = 2πr
C = 2 ⋅ 22/7 ⋅ 63 = 44 ⋅ 9 = 396m
Time taken by some to complete one round

Time taken by mohit to complete one round

Then the LCM of 12min and 9min will be
12 = 2 ⋅ 2 ⋅ 3
9 = 3 ⋅ 3
LCM of 12 and 9 = 36

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