A, B and C run on a circular track. The time taken by A, B and C to complete one round is 6 minutes, 8 minutes, and 3 minutes, respectively. If they start together at 5 p.m., then at what time will they meet again at the starting point?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 5:24 p.m.
Given that,
The time taken by A, B, and C to complete one round is 6 minutes, 8 minutes, and 3 minutes, respectively.
They will meet at the starting point in = LCM of (6 minutes, 8 minutes, 3 minutes)
⇒ 6 = 2 × 3
⇒ 8 = 2 × 2 × 2
⇒ 3 = 3 × 1
L.C.M = 24 minutes
Hence, the meeting time at the starting point again = 5 p.m. + 24 minutes = 5:24 p.m.