UPSKILL MATH PLUS

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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\(m/minute\), and gradually increases his speed by 20\(m/minute\) every minute after that. How long will it take the cop to catch the thief?
 
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The Policeman takes  minutes to catch the thief.