SSC Selection Post 2022 PYQ — Question 60

SSC Selection Post - Higher Secondary Level - 4 Aug 2022 - Shift 3 • Quantitative Aptitude • Q60

A thief was spotted by a policeman at a distance of 1200 m and he started chasing him. The thief ran 6.4 km in 52 minutes and the policeman also ran the same distance in 40 minutes. Find the distance the thief had run before he was caught.

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 4 km

Thief’s speed = 6400/52 =123.08 m/min

Policeman’s speed =  6400/40 = 160 m/min

Relative speed = 160−123.08 = 36.92 m/min 

Time to catch = 1200/36.92 ≈ 32.5 minutes

Distance that thief ran in that time =123.08 × 32.5 ≈ 4000 m ​= 4 km​