SSC CGL 2024 PYQ — Question 74

SSC CGL - 18 Sep 2024 - Shift 2 • Quantitative Aptitude • Q74

In a circular race of 4800m, A and B start from the same point and at the same time with speeds of 36 km/h and 54 km/h.When will they meet again for the first time on the track if they are running in the opposite direction?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 192 second.

 

⇒ Speed of A: 36 km/h = 36 × (1000 m / 3600 s) = 10 m/s

⇒ Speed of B: 54 km/h = 54 × (1000 m / 3600 s) = 15 m/s

Calculate their combined speed (since they're running in opposite directions):

⇒ Combined speed = Speed of A + Speed of B = 10 m/s + 15 m/s = 25 m/s

Calculate the time taken to meet:

⇒ Time = Distance / Combined speed = 4800 m / 25 m/s = 192 seconds

Therefore, A and B will meet again for the first time on the track after 192 seconds (or 3 minutes and 12 seconds).