Three runners A, B, and C begin running simultaneously around a circular track in the same direction. Runner A completes one lap in 252 seconds, B in 308 seconds, and C in 198 seconds. After how much time will all three runners meet again at the starting point?

Explanation

To find when all three runners meet again at the start, calculate the least common multiple (LCM) of their lap times: 252, 308, and 198 seconds. The LCM is 2772 seconds, which converts to 46 minutes and 12 seconds. Therefore, they will all meet at the starting point after 46 minutes and 12 seconds.