यदि किसी नाविक को धारा की प्रतिकूल दिशा में 40 किमी जाने में 8 घंटे लगते हैं, जबकि धारा के अनुकूल समान दूरी को तय करने में उसे 5 घंटे लगते हैं। स्थिर जल में नाविक की गति ज्ञात कीजिए।

This question was previously asked in
RRB ALP Previous Paper 8 (Held On: 13 Aug 2018 Shift 3)
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  1. 1.5 किमी/घंटा
  2. 4.5 किमी/घंटा
  3. 6.5 किमी/घंटा
  4. 4 किमी/घंटा

Answer (Detailed Solution Below)

Option 3 : 6.5 किमी/घंटा
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Detailed Solution

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माना कि x = नाविक की गति तथा y = जल की धारा की गति

धारा के प्रतिकूल गति = (x –y)

⇒ 40/ (x – y) = 8

⇒ x – y = 5      ----(1)

अब, धारा के अनुकूल गति = (x + y)

⇒ 40/ (x + y) = 5

⇒ x + y = 8      ----(2)

समीकरण 1 और 2 से हमें प्राप्त होता है,

x = 6.5 किमी/घंटा

∴ 

नाविक की गति = 6.5 किमी/घंटा

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