A thief runs at a constant speed of 120 metres per minute. After one minute, a police officer chases down the robber to catch him. He starts at a speed of 120\(m/\text{minute}\), and gradually increases his speed by 12\(m/\text{minute}\) every minute after that. How long will it take the cop to catch the thief?
The Policeman takes minutes to catch the thief.