दीक्षित 28 किमी/घंटा की चाल से कार चलाकर एक निश्चित दूरी तय करता है और वह 36 किमी/घंटा की चाल से स्कूटर पर सवार होकर प्रारंभिक बिंदु पर आ जाता है। पूरी यात्रा के लिए औसत चाल (किमी/घंटा में) ज्ञात कीजिए।

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SSC Selection Post 2024 (Matriculation Level) Official Paper (Held On: 24 Jun, 2024 Shift 1)
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  1. 31.5
  2. 32.0
  3. 64.0
  4. 48.5

Answer (Detailed Solution Below)

Option 1 : 31.5
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दिया गया है:

दीक्षित 28 किमी/घंटा की चाल से कार चलाकर एक निश्चित दूरी तय करता है और वह 36 किमी/घंटा की चाल से स्कूटर पर सवार होकर प्रारंभिक बिंदु पर आ जाता है। 

प्रयुक्त सूत्र:

औसत गति = \(\dfrac{2 \times \text{Speed}_1 \times \text{Speed}_2}{\text{Speed}_1 + \text{Speed}_2}\)

गणना:

चाल1 = 28 किमी/घंटा

चाल2 = 36 किमी/घंटा

औसत चाल = \(\dfrac{2 \times 28 \times 36}{28 + 36}\)

⇒ औसत चाल = \(\dfrac{2016}{64}\)

⇒ औसत चाल = 31.5 किमी/घंटा

∴ सही उत्तर विकल्प (1) है।

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