A policeman chases a thief. The speed of the policeman and…

A policeman chases a thief. The speed of the policeman and thief is 18 km/h and 6 km/h, respectively. If the policeman started 10 minutes late, at what distance will he catch the thief?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e.1.5 km.

Relative speed = 18 − 6 = 12 km/h

Time gap = 10 minutes = $10\over60$ = $\frac{1}{6}$ hours

Distance covered by thief in 10 minutes = 6 × $\frac{1}{6}$ = 1 km

Time to catch = $\frac{1}{12}$ hours

Distance = 18 × $\frac{1}{12}$ = 1.5 km

SSC Selection Post 2024 PYQ — Question 60