SSC MTS 2024 PYQ — Question 18

SSC MTS - 18/10/2024 - (12:30 PM - 2:30 PM) • Quantitative Aptitude • Q18

A and B start running simultaneously, around a circular track of 1200 m, in the same direction, at a speed of 8 m/s and 12 m/s, respectively. A and B will meet at the starting point for the first time after:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is  option 2  i.e. 300 s.

Relative speed = 12 – 8 = 4 m/s

Track length = 1200 m

Time to meet at starting point = LCM of their individual times to complete one round.

A’s time = 1200 / 8 = 150 s

B’s time = 1200 / 12 = 100 s

LCM of 150 and 100 = 300 seconds