A thief escapes from a bank at 10:00 AM at a speed of 20 km/h. A police car starts chasing him at 10:30 AM at a speed of 30 km/h. At what time will the police car catch the thief?
Show answer & explanation
Correct answer: B
Explanation
Thief's speed = 20 km/h
Police's speed = 30 km/h
The thief starts at 10:00 AM
The police start at 10:30 AM
Distance covered by the thief from 10:00 to 10:30 = 20 × 1/2 = 10 km
Relative speed = 30 − 20 = 10 km/h
Time taken to catch the thief = Distance / Relative speed = 10 / 10 = 1 hour
Therefore,
10:30 + 1 hour = 11:30 AM