एक नाव को धारा के प्रतिकूल निश्चित दूरी तय करने में 10 घंटे लगते हैं, जबकि धारा के अनुकूल समान दूरी तय करने में उसे 7 घंटे लगते हैं। नाव की गति और धारा की गति के बीच अनुपात क्रमशः कितना है?

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SSC CGL 2023 Tier-I Official Paper (Held On: 25 Jul 2023 Shift 3)
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  1. 17 ∶ 5
  2. 3∶17
  3. 2 ∶ 17
  4. 17∶3

Answer (Detailed Solution Below)

Option 4 : 17∶3
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दिया गया है:

धारा के प्रतिकूल दूरी तय करने में लगा समय = 10 घंटे

धारा के अनुकूल दूरी तय करने में लगा समय = 7 घंटे

प्रयुक्त अवधारणा:

यदि दूरी स्थिर है तो,

गति ∝ (1/समय)

गणना:

दूरी स्थिर है, इसलिए

धारा के प्रतिकूल लगने वाला समय : धारा के अनुकूल लगने वाला समय = 10 : 7

धारा के प्रतिकूल गति : धारा के अनुकूल गति = 7 :10

अब,

नाव की गति : धारा की गति = (10 + 7)/2 : (10 - 7)/2

⇒ 17 : 3

∴ सही विकल्प 4 है।

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