एक व्यक्ति एक निश्चित समय में धारा के अनुकूल 8 किमी की दूरी तय कर सकता है और समान समय में धारा के प्रतिकूल 6 किमी की दूरी तय कर सकता है। यदि वह धारा के प्रतिकूल 24 किमी और धारा के अनुकूल समान दूरी  घंटे में तय करता है, तो धारा की चाल (किमी/घंटा में) ज्ञात कीजिए। 

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SSC CGL 2020 Tier-I Official Paper 9 (Held On : 17 Aug 2021 Shift 3)
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  1. 4
  2. 3

Answer (Detailed Solution Below)

Option 2 : 4
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Detailed Solution

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दिया गया है:

कुल दूरी = 24किमी

लिया गया समय = 7/4 घंटे

प्रयुक्त अवधारणा:

चाल = D/t

D= दूरी 

t = समय 

गणना:

माना व्यक्ति और धारा की चाल क्रमशः v और s है।

प्रश्न के अनुसार,

⇒ 8v - 8s = 6v + 6s

⇒ 2v = 14s

⇒ v : s = 7 : 1

माना कि चाल = 7x

धारा की चाल = x

इसलिए,

24/8x + 24/6x = 7/4

⇒ 3/x + 4/x = 7/4

⇒ 7/x = 7/4

⇒ x = 4

⇒ धारा की चाल = 4 किमी/घंटा 

∴ धारा की चाल 4 किमी/घंटा है।

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