400 मीटर अंतरावरून एका पोलिसाला एक चोर दिसतो. पोलिस पाठलाग करू लागल्यावर चोरही पळू लागतो. जर चोराचा वेग 32 किमी/तास आणि पोलिसाचा वेग 40 किमी/तास असेल, तर चोराला गाठण्यापूर्वी तो चोर किती दूर पळून गेला असेल?

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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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दिलेले आहे:

पोलीस आणि चोर यांच्यातील अंतर = 400 मीटर

पोलिसाचा वेग = 40 किमी/तास

चोराचा वेग = 32 किमी/तास

वापरलेले सूत्र:

अंतर = सापेक्ष गती × वेळ

गणना:

अंतर = सापेक्ष गती × वेळ

⇒ 400 = (40 - 32) × (5/18) × वेळ

⇒ 400 = 8 × (5/18) × वेळ

वेळ = (400 × 18)/40 = 180 सेकंद

चोराने प्रवास केला अंतर = 32 × (5/18) × 180

⇒ 32 × 5 × 10 = 1600 मीटर

∴ योग्य उत्तर 1600 मीटर आहे.

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