Question
Download Solution PDFएक 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 \(1\frac{3}{4}\) घंटे में तय करता है, तो धारा की चाल (किमी/घंटा में) ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया 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,
\({8\over v \;+\;s} = {6\over v \;-\;s}\)
⇒ 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।
Last updated on Jun 13, 2025
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