A thief is chased by a policeman and distance between them is 3 km. The speed of policeman is 75 km/h and the speed of the thief is 60 km/h. The policeman will be able to catch the thief when the thief would have covered the distance of ______ km.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 12.
We know that
Time = Distance/Speed
Concept used:
If two bodies are moving in the same direction at u m/s and v m/s, (u > v)
Then the relative speed of the first body with respect to the second body = (u - v) m/s.
Now, according to the question
The relative speed between police and thief = (75 - 60) = 15 km/hr
Distance between police and thief = 3 km
Time taken = Distance/Relative Speed
Time taken = 3/15 = 1/5
Time taken = 1/5 × 60 min = 12 minutes
Distance travelled by a thief in 12 minutes = 60/60 × 12 = 12 km