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. At what time will the three of them meet together at the starting point? ​

• A. 26 min and 18 sec
• B. 42 min and 36 sec
• C. 45 min and 18 sec
• D. 46 min and 12 sec

Answer 1

The correct option is D 46 min and 12 sec

The time at which all of the meet at starting point will be LCM of 252, 308 and 198.​ LCM(252, 308, 198) = 2772 = 46 min 12 sec​