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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 ?

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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A; completes;in;252 ;seconds.\*B; completes;in;308;seconds\* C;completes;in;198;seconds\*So,; to ;find;the;time;when ;meet;for;the;first;time;we;have;to ;find;lcm;of;the;individual;time;taken;by;them.\* 252=2^2 imes 3^2 imes 7\* 308=2^2 imes7 imes11\*198=2 imes3^2 imes11\* So,;LCM=2^2 imes3^2 imes7 imes11=2772\* Hence,;they;will;meet;after;2772;seconds.

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Deependra Verma

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