SSC CPO 2022 PYQ — Question 141

SSC CPO - 9 Nov 2022 - Shift 2 • Quantitative Aptitude • Q141

A policeman sees a thief at a distance of 150 m. He starts chasing the thief who is running at a speed of 5 m/sec, while the policeman chases with a speed of 7m/sec.Find the distance covered by the thief when he is caught by the policeman.

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 375 m.

We know that

Distance = Speed × Time

Now, according to the question:

Policemen see the thief at a distance of 150 m

Let, the  time = T

⇒ 7T = 150 + 5T

⇒ 2T = 150

⇒ T = 75

It will take the policemen 75 seconds to catch the thief

The thief would have run 75 × 5 = 375 m

Therefore, the thief will cover 375 m before he is caught by the policemen.