Question
Download Solution PDFएक रेलगाड़ी दिल्ली से देहरादून 120 किमी/घंटा की गति से और देहरादून से दिल्ली 130 किमी/घंटा की गति से यात्रा करती है। पूरी यात्रा के दौरान रेलगाड़ी की औसत गति कितनी है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया मान:
दिल्ली से देहरादून की गति = 120 किमी/घंटा
देहरादून से दिल्ली की गति = 130 किमी/घंटा
अवधारणा:
औसत गति = कुल दूरी / कुल समय
गणना:
⇒ यदि हम दिल्ली और देहरादून के बीच की दूरी d किमी मान लें, तो कुल दूरी = 2d
⇒ दिल्ली से देहरादून तक जाने में लगा समय = d / 120, और देहरादून से दिल्ली तक जाने में लगा समय = d / 130
⇒ इसलिए, औसत गति = 2d / ((d / 120) + (d / 130))
अतः, पूरी यात्रा के दौरान औसत गति लगभग 124.8 किमी/घंटा है।
Last updated on Jun 30, 2025
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