SSC MTS 2024 PYQ — Question 2

SSC MTS - 28/10/2024 - (4:00 PM - 5:30 PM) • Quantitative Aptitude • Q2

In a circular race of 1100 m, P and Q start from the same point, at the same time, and at speeds of 36 km/h and 63 km/h, respectively. When will they meet again for the first time on the track if they are running in opposite directions?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1, i.e., 40 s.

Convert speeds to m/min:

36 km/h = 36 × 1000 ÷ 60 = 600 m/min

63 km/h = 63 × 1000 ÷ 60 = 1050 m/min

Since they run in opposite directions, relative speed = 600 + 1050 = 1650 m/min

Time = Distance ÷ Relative speed = 1100 ÷ 1650 = 2/3 min

Time = 40 seconds