Question

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?

• A. $00.30$ hrs
• B. $00.40$ hrs
• C. cannot be determined
• D. Never catch the thief

Answer 1

The correct option is D Never catch the thief

According to the given problem, speed of the thief is more than that of the guards, so the speed of the thief relative to the guards is:

$30-20=10$km/hr.

And also, since the thief started running first, therefore, the distance between the guard and thief will only increase.

Hence, it is impossible for to catch the thief.