SSC CPO 2022 PYQ — Question 107

SSC CPO - 10 Nov 2022 - Shift 2 • Quantitative Aptitude • Q107

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