A police officer follows a thief who is at a distance of 800 m from him. If they run at a speed of 8 km/h and 7 km/h, respectively, how long does the police officer have to run to catch up with the thief?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 6400 m.
Speed of the police officer = 8 km/h
Speed of the theif = 7 km/h
Relative speed in same direction = Speed of police - Speed of theif = 8 - 7 = 1 km/h = 5/18 m/s
Distance between police and theif = 800m
Time = Distance/Speed
= 800/(5/18) = 2880 Sec
So, the distance covered by the police officer in 2880 sec = 8 × 5/18 × 2880 = 6400 m