Three persons P, Q, and R run along a circular track at speeds of 3 km/h, 4 km/h, and 6 km/h, respectively. If the length of the track is 36 km, then how much time will they meet again at the starting point?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 36 hours
Given that
the length of the circular track is 36 km
According to the question
The time is taken by P to cover the track = 36/3 = 12 hours
The time is taken by Q to cover the track = 36/4 = 9 hours
The time is taken by R to cover the track = 36/6 = 6 hours
Hence, time will they meet again at the starting point = LCM of (12, 9, 6) = 36 hours