धारा के प्रतिकूल 144 किमी की दूरी को तय करने में एक नाविक को 12 घंटे लगते हैं जबकि धारा के अनुकूल समान दूरी को तय करने में उसे केवल 9 घंटे लगते हैं। धारा की गति कितनी है?

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SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 2)
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  1. 3 किमी/घंटा
  2. किमी/घंटा
  3. 1.5 किमी/घंटा
  4. किमी/घंटा

Answer (Detailed Solution Below)

Option 4 : 2 किमी/घंटा
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Detailed Solution

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दिया गया है:

कुल दूरी = 144 किमी 

नाविक द्वारा धारा के प्रतिकूल जाने में लिया गया समय = 12 घंटे

नाविक द्वारा धारा के अनुकूल जाने में लिया गया समय = 9 घंटे

प्रयुक्त अवधारणा:

धारा के प्रतिकूल गति = (U - V)

धारा के अनुकूल गति = (U + V)

धारा की गति = (अनुकूल गति - प्रतिकूल गति)/2

गति = दूरी/समय

गणना:

नाविक की धारा के प्रतिकूल गति = (U - V) = 144/12 = 12 किमी/घंटा

नाविक की धारा के अनुकूल गति = (U + V) = 144/9 = 16 किमी/घंटा

धारा की गति = (16 - 12)/2 = 4/2 = 2 किमी/घंटा

∴ सही उत्तर 2 किमी/घंटा है।

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