एक नाव की धारा के अनुकूल गति उसकी धारा के प्रतिकूल गति से दोगुनी है। नाव धारा के अनुकूल समय (t + 1) घंटे में 32 किमी और धारा के प्रतिकूल समय t घंटे में 12 किमी यात्रा करती है। t का मान क्या है?

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IBPS Clerk Prelims Memory Based Paper (Held On: 24 August 2024 Shift 2)
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Answer (Detailed Solution Below)

Option 3 : 3
Free
IBPS Clerk Prelims Memory Based Paper (Held On: 24 August 2024 Shift 1)
6.6 K Users
100 Questions 100 Marks 60 Mins

Detailed Solution

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माना, धारा के प्रतिकूल गति = x किमी/घंटा

⇒ धारा के अनुकूल गति = 2x किमी/घंटा (दिया गया है)

धारा के अनुकूल दिशा में: दूरी = 32 किमी, समय = (t + 1) घंटे

⇒ गति = दूरी ÷ समय = 32 ÷ (t + 1)

धारा के प्रतिकूल: दूरी = 12 किमी, समय = t घंटे

⇒ गति = दूरी ÷ समय = 12 ÷ समय

अब गति को समान करते हुए:

⇒ 32 ÷ (t + 1) = 2 × (12 ÷ t)

⇒ 32 ÷ (t + 1) = 24 ÷ t

वज्र गुणन करने पर:

⇒ 32 × t = 24 × (t + 1)

⇒ 32t = 24t + 24

⇒ 32t − 24t = 24

⇒ 8t = 24

⇒ t = 24 ÷ 8 = 3

इस प्रकार, सही उत्तर 3 है। 

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