SSC CGL 2023 PYQ — Question 68

SSC CGL - 20 July 2023 - Shift 3 • Quantitative Aptitude • Q68

P gives Q a head-start of 2 seconds in a 400 m race, but both finish the race at the same time. Find the time taken by P to finish the race if the speed of Q is 2 m/sec.

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 198 seconds.

Given that

P gives Q a head-start of 2 seconds in a 400 m race but both finish at the same time

The speed of Q = 2 m/sec

According to the question

⇒The time to complete the race by Q = 400/2 = 200 sec

As we know, Q is a headstart of 2 seconds

Hence, The time taken to finish the race by P = 200 - 2 = 198 sec.