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(in sec ) will they meet again at the starting point?

Answer 1

Time taken by A to complete a round$=252s$

Time taken by B to complete a round$=308s$

Time taken by C to complete a round$=198s$

Time at which A, B andC will again meet at the starting point=LCM(252,308and198)

$252=2\times 2\times 3\times 3\times 7$

$308=2\times 2\times 7\times 11$

$198=2\times 3\times 3\times 11$

LCM($252,308$ and $198$)$=2\times 2\times 3\times 3\times 7\times 11$

$=2772$

Time at which A, B andC will again meet at the starting point$=2772sec$