SSC CGL 2023 PYQ — Question 64

SSC CGL - 21 July 2023 - Shift 3 • Quantitative Aptitude • Q64

In a circular race of 1600 m, A and B start from the same point and at the same time with speeds of 27 km/h and 45 km/h, respectively. After how long will they meet again for the first time on the track when they are running in the same direction?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 320 seconds.

Speed of A = 27 km/h or 27 × 5/18 = 7.5 m/s

Speed of B = 45 km/h or 45 × 5/18 = 12.5 m/s

Relative Speed between A and B = Speed of B − Speed of A = 12.5 m/s − 7.5 m/s = 5 m/s

Time they meet again for the first time on the track when they are running in the same direction = DistanceRelativespeed\frac{Distance}{Relative speed} = 1600m5m/s=320seconds\frac{1600 m}{5m/s} = 320 seconds