SSC CGL 2023 PYQ — Question 56

SSC CGL - 27 July 2023 - Shift 1 • Quantitative Aptitude • Q56

Sohan and Amit started a car race from the same point in the same direction and at the same time on a circular track of length 1125 m with speeds of 36 km/h and 54 km/h, respectively. After how much time (in seconds) will they meet for the first time since the start of the race?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 225.

Given that, Distance = 1125 m

Speed of Sohan = 36 km/h 

Speed of Amit = 54 km/h

If two person move in the same direction, relative speed = Difference between the two speeds

Relative speed of Sohan and Amit = 54 - 36 = 18 km/h

Relative speed of Sohan and Amit in m/sec = 18×51818 \times {5 \over 18} = 5 m/sec

Now, Distance = Speed × Time

Time taken by Sohan and Amit to meet for the first time = 112551125 \over 5 = 225 sec

Hence Sohan and Amit will meet for the first time after 225 sec.