SSC GD 2025 PYQ — Question 47

SSC GD Const 2025 (English) - 17 Feb 2025 - Shift 1 • Quantitative Aptitude • Q47

There are three persons M,N And P. They are running in the same direction around a circular track of length 150 m. Their speeds are 20 m/sec,15 m/sec and 12 m/sec, respectively. If they start at same time and same point, then after what time do they meet for the first time?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 150 sec.

Time to meet = LCM of their lap times.

Lap times: M = 7.5 s, N = 10 s, P = 12.5 s

LCM of 7.5, 10, 12.5 = 150 s