A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 100 seconds, B in 250 seconds and C in 300 seconds. All of them start from the same point. After how many minutes will they again be together at the starting point?
Show answer & explanation
Correct answer: B
Explanation
Given:
A = 100 seconds, B = 250 seconds, C = 300 seconds
According to the formula:
Time = LCM (100, 250, 300)
100 = 2² × 5²
250 = 2 × 5³
300 = 2² × 3 × 5²
LCM = 2² × 3 × 5³ = 4 × 3 × 125 = 1500 seconds
In minutes = 1500 / 60 = 25 minutes