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 guards 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

Speed of the thief is more than that of the guards, so the speed of the thief relative to the guard $=30-20=10Km/hr$
And since the thief started got a head start the distance between the guard and thief will only increase, making it impossible for the guards to catch the thief.
Hence, Never catch the thief.