SSC MTS 2024 PYQ — Question 6

SSC MTS - 30/09/2024 - (4:00 PM - 5:30 PM) • Quantitative Aptitude • Q6

In a circular race of 1500 m, P and Q start from the same point and at the same time, at speeds of 20 km/h and 35 km/h, respectively. After what time will they meet for the first time on the track if they are running in the same direction?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 360 sec.

The speed of P = 20 km/h

The speed of Q = 35 km/h

The relative speed of P and Q = (35 - 20) km/h

= 15 km/h

= [15 × (5/18)] m/s = 25/6 m/s

The length of the track = 1500 m

Time required = Distance/Speed = 1500/(25/6) sec = 360 sec

Therefore, they will meet for the first time on the track in 360 seconds.