Question

A,B and C start to run around a circular stadium at the same time, in the same direction . A complete a round in 252 second, B in 308 second and C in 198 second, all starting at the same point. After what time will they meet again at the starting point ?​

Answer 1

A, B and C are respectively at the starting points when they complete an integral number of rounds.

For the three of them to meet, all of them must have completed an integral number of rounds at the time we are considering, so that they are all present at the starting point.

For that to happen, the time being considered must be a multiple of each of the time periods taken by them to complete a round.

And the least time after which it occurs from the starting is the LCM of their respective time periods.

Which is equal to: 2772 seconds.