A thief steals a car at 3:30 p.m. and drives it at 80 km/h. The theft is discovered at 4:00 p.m. and the owner sets off in another car at 90km/h. When will he catch the thief?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 8:00 p.m.
Distance = Speed × Time Distance
Distance travelled by thief in 30 minutes = 80 × 30/60 = 40 km
Now, speed of owner's car = 90 km/h
When two cars are travelling in the same direction, their relative speed is equal to the difference between their individual speeds.
Relative speed = 90 - 80 = 10 km/hr
Time taken to cover 40 km = 40/10 = 4 hr
Hence, the thief will be caught by the police at 8:00 p.m.