A thief escapes in a car driving at 60 km/h towards a city 400 km away. Only after 30 minutes, the police start to chase at 80 km/h. What distance will the police have covered when the thief is caught?

Correct option is A

Given:

Speed of the thief's car = 60 km/h

Distance to the city = 400 km

Time before police start chasing = 30 minutes = 0.5 hours

Speed of the police car = 80 km/h

Formula Used:

Distance = Speed × Time

Solution:

Distance covered by the thief in 0.5 hours:

Distance = 60 km/h × 0.5 hours = 30 km

So, when the police start, the thief is 30 km ahead.

Relative speed between the police and the thief:

Relative speed = 80 km/h - 60 km/h = 20 km/h

Time taken by the police to catch the thief:

Time = Distance / Relative speed = 30 km / 20 km/h = 1.5 hours

Distance covered by the police in 1.5 hours:

Distance = Speed × Time = 80 km/h × 1.5 hours = 120 km

The police will have covered 120 km when the thief is caught.