At 7: 30 P.M. the owner of a Cycle noticed that a thief is taking away his cycle from his home and is cycling in a particular direction at an estimated speed of 10 km per hour. He informed the police about the theft and the policeman started from the same point, half an hour later than the time of the theft but with a speed of 12 km per hour. At what time will Policeman catch the thief?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 10:00 P.M.
Given that
At 7:30 P.M., a thief stole a bicycle
The speed of a thief of cycling = 10 km/h
Half an hour later than the time of the theft, Police ran with a speed of 12 km per hour
According to the question
In half an hour, the thief travels a distance = 10 × (1/2) = 5 km
The relative speed = 12 - 10 = 2 km/h
Hence, Police caught the thief in = 5/2 = 2.5 hours
Time = 7: 30 + 2.5 = 10:00 P.M.