SSC MTS 2024 PYQ — Question 6

SSC MTS - 17/10/2024 - (4:00 PM - 5:30 PM) • Quantitative Aptitude • Q6

A thief is noticed by a policeman from a distance of 450 m. The thief starts running and the policeman chases him . The thief and the policeman run at therate of 10121\over2 km/h and 12121\over2 km/h , respectively . Whatwill be the distance between them after 3 minutes?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is  option 4  i.e. 350 m.

Thief's speed = 10.5 km/h = 10.5 × 1000 ÷ 60 = 175 m/min

Policeman's speed = 12.5 km/h = 12.5 × 1000 ÷ 60 = 208.33 m/min

Difference in speed = 208.33 - 175 = 33.33 m/min

Time = 3 minutes

Distance closed in 3 minutes = 33.33 × 3 ≈ 100 m

Initial distance = 450 m

Distance after 3 minutes = 450 - 100 = 350 m