SSC MTS 2024 PYQ — Question 5

SSC MTS - 30/09/2024 - (12:30 PM - 2:30 PM) • Quantitative Aptitude • Q5

A policeman follows a thief, who is 150 metres ahead of him, and they run at the speeds of 6 km/h and 5 km/h, respectively. What distance does the policeman cover to catch up with the thief?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 900 metres.

Distance between them = 150 m

Relative speed = 6 − 5 = 1 km/h

1 km/hr = 1 × 5185\over18 = 5185\over18 m/sec

Time to catch = 150518150\over{5\over18} = 540 seconds

Distance covered by the policeman = 6 × 5185\over18 × 540 = 900 meters