A thief is noticed by a policeman from a distance of 650 m. The thief starts running and the policeman start chasing him. The thief and the policeman run at the rate of 8 km/hr and 10.5 km/hr respectively. The distance (in meters) between them after 12 minutes is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 150.
According to the question,
⇒ Distance traveled by thief in 12 mins = 20/9 × (12 × 60) = 14400/9 = 1600 m
⇒ Distance traveled by police in 12 mins = 17.5/6 × (12 × 60) = 2100 m
⇒ Distance between thief and police after 12 mins = (Initial distance + distance traveled by a thief in 12 mins) - (Distance traveled by police in 12 mins)
⇒ Distance = (650 + 1600) - 2100 = 2250 - 2100 = 150 m