Multiple Choice Questions

Three persons P Q R run along a circular track at speeds of 3 km h 4 km h 6 km h respectively If the...........

Quantitative Aptitude (CPO) Time & distance

Three persons P, Q, R run along a circular track at speeds of 3 km/h, 4 km/h, 6 km/h, respectively. If the length of the track is 36

km, then after how much time will they meet again at the starting point?

This questions was previously asked in

SSC CPO 10th Nov 2022 Shift 2

38 hours

36 hours

24 hours

28 hours

- The problem involves determining when P, Q, and R will next meet at their starting point, given different running speeds.

- P runs at 3 km/h, Q runs at 4 km/h, and R runs at 6 km/h, all on the same 36 km circular track.

- They meet when each person completes an integer number of laps.

- Calculate the time taken for each to complete one lap: P (12 hours), Q (9 hours), R (6 hours).

- Use the least common multiple (LCM) of these times to find when they will all meet again.

- The LCM of 12, 9, and 6 is 36 hours.

- Correct Answer: Option 2 – 36 hours

Submit Error