एक चोर को एक पुलिसकर्मी ने 400 मीटर की दूरी से देखा। पुलिसकर्मी पीछा करने लगा तो चोर भी भागने लगा। यदि चोर की गति 32 किमी/घंटा है और पुलिसकर्मी की गति 40 किमी/घंटा है, तो फिर चोर पकड़े जाने से पहले कितनी दूर तक दौड़ा होगा?

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SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 1)
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  1. 1500 मीटर 
  2. 1000 मीटर 
  3. 1200 मीटर 
  4. 1600 मीटर 

Answer (Detailed Solution Below)

Option 4 : 1600 मीटर 
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Detailed Solution

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दिया गया है:

पुलिसकर्मी और चोर के बीच की दूरी = 400 मीटर

पुलिसकर्मी की गति = 40 किमी/घंटा

चोर की गति = 32 किमी/घंटा

प्रयुक्त सूत्र:

दूरी = सापेक्ष गति × समय

गणना:

दूरी = सापेक्ष गति × समय

⇒ 400 = (40 - 32) × (5/18) × समय

⇒ 400 = 8 × (5/18) × समय

⇒ समय = (400 × 18)/40 = 180 सेकंड

चोर द्वारा तय की गई दूरी = 32 × (5/18) × 180

⇒ 32 × 5 × 10 = 1600 मीटर

∴ सही उत्तर 1600 मीटर है।

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