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Q. Two runners $A$ and $B$ are running on a circular track. A takes 40 seconds to complete every round and B takes 30 seconds to complete every round. If they start simultaneously at 9:00 am, then which of the following is the time at which they can meet at the starting point?

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Solution:

LCM of 40 seconds and 30 seconds is 120 seconds, i.e., 2 minutes.
$\therefore A$ and $B$ meet in every 2 minutes.
$\therefore$ Option (b) follows.