Multiple choice

A thief steals a car at 1:30 p.m. and drives at 40 kmph. At 2:00 p.m, the owner starts chasing his car at 50 kmph. At what time will he catch the thief?

  1. 4:00 p.m.

  2. 2:30 p.m.

  3. 2:00 p.m.

  4. Cannot be determined

  5. None of these

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The thief has a 30-minute (0.5 hour) head start, covering 40 * 0.5 = 20 km. The relative speed of the owner is 50 - 40 = 10 km/h. Time to catch = 20 km / 10 km/h = 2 hours. Starting from 2:00 p.m., the owner catches the thief at 4:00 p.m.

AI explanation

By 2:00 p.m., the thief has a 30 minute head start, creating a gap of 20 kilometers at 40 kmph. The owner travels at a relative speed of 10 kmph, which is the difference between 50 kmph and 40 kmph, to close this gap. Using time equals distance divided by speed, the owner takes 20 divided by 10, or 2 hours, so he catches the thief at 4:00 p.m.