A policeman follows a thief, who is 150 metres
A policeman follows a thief, who is 150 metres ahead of him., and they run at the speed of 6 km/h and 5 km/h, respectively. What distance does the policeman cover to catch up with the thief?
एक पुलिसकर्मी एक चोर का पीछा करता हैं, जो कि उससे 150 मीटर आगे है, और वे क्रमश: 6 km/h और 5 km/h की चाल से दौड़ते हैं। चोर को पकड़ने के लिए पुलिसकर्मी कितनी दूरी तय करता है?
Detailed Solution & Logic
900 metres
Distance between policeman and thief = 150 m
Speed of policeman = 6 km/h = $ \frac{6000}{3600} = \frac{5}{3} $ m/s
Speed of thief = 5 km/h = $ \frac{5000}{3600} = \frac{25}{18} $ m/s
Relative speed = $ \frac{5}{3} - \frac{25}{18} = \frac{5}{18} $ m/s
Time to catch up = $ \frac{150}{5/18} = 150 \times \frac{18}{5} = 540 $ s
Distance covered by policeman = $ \frac{5}{3} \times 540 $= 900 m
Answer: 900 m
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