A police station, a bank and a safe house for the thief are in a straight line with a bank in between. The distance between the police station and the safe house is four times the distance between the bank and the safe house. After looting the bank at 9:15 A.M, the thief runs away. A policeman gets the information instantly and chases him at the speed of 16 km/h. The policeman catches the thief at the gate of the safe house in fifteen minutes. What is the distance between the bank and the police station?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 3 km.
Let bank to safe house = x
Then police station to safe house = 4x ⇒ 4x = 16 × 0.25 = 4 ⇒ x = 1
So, bank to police station = 3x = 3 km