एक व्यक्ति 5 घंटे में 4 किमी धारा के प्रतिकूल तैरता है और 5 घंटे में 16 किमी धारा के अनुकूल तैरता है। धारा की चाल क्या है?

This question was previously asked in
RRC Group D Previous Year Paper 70 (Held On: 2 Nov 2018 Shift 2)
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  1. 2.2 किमी/घंटा
  2. 3.2 किमी/घंटा
  3. 1.2 किमी/घंटा
  4. 1.5 किमी/घंटा

Answer (Detailed Solution Below)

Option 3 : 1.2 किमी/घंटा
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Detailed Solution

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दिया गया:

5 घंटे में 4 किमी धारा के प्रतिकूल 

5 घंटे में 16 किमी धारा के अनुकूल

प्रयुक्त सूत्र:

धारा के प्रतिकूल = v - u

धारा के अनुकूल = v + u

v = आदमी की चाल

u = धारा की चाल

गणना:

हम जानते हैं कि,

चाल = दूरी/समय

5 घंटे में 16 किमी धारा के अनुकूल

v + u = 16/5      ----(1)

5 घंटे में 4 किमी धारा के प्रतिकूल

v - u = 4/5      ----(2)

समीकरण 1 और समीकरण 2 से

2v = 20/5 = 4 किमी/घंटा

⇒ v = 2 किमी/घंटा

⇒ u = 1.2 किमी/घंटा

∴ धारा की चाल 1.2 किमी/घंटा है।

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