Multiple choice

A thief robs a house at $12$ midnight and as soon as he leaves the house the house owner realises of the robbery in the house. After $10$ minutes, he rings the alert alarm and the security guards of the house start running after the thief to catch him. If the speed of the thief is $30$ km/hr and that of the security guard is $20$ km/hr, what time will the guards catch the thief?

  1. $00.30$ hrs
  2. $00.40$ hrs
  3. cannot be determined

  4. Never catch the thief

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

The thief is moving at 30 km/hr and the guard at 20 km/hr. Since the thief is faster than the guard, the distance between them will increase over time rather than decrease. Therefore, the guard will never catch the thief.

AI explanation

The thief has a head start and travels at 30 km/hr, while the security guard travels at a slower speed of 20 km/hr. Because the guard is slower than the thief, the distance between them will only increase over time. Therefore, the guards will never catch the thief.