Question
Download Solution PDF96 किमी की एक यात्रा में, धीमी ट्रेन (B) की तुलना में तेज ट्रेन (A) को एक घंटे कम समय लगता है। यदि B की औसत गति A से 16 किमी/घंटा कम है, तब A की औसत गति (किमी/घंटा में) कितनी है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFविस्तृत हल:
माना ट्रेन A की गति x किमी/घंटा है।
ट्रेन B की गति = (x – 16) किमी/घंटा
प्रश्नानुसार
⇒ x2 – 16x = 96 × 16
⇒ x2 – 16x – 1536 = 0
⇒ (x – 48) (x + 32) = 0
⇒ x = 48 और x = -32 (संभव नहीं है)
∴ ट्रेन A की गति = 48 किमी/घंटा
Shortcut Trick
विकल्पों की जाँच करते हैं
माना ट्रेन A की गति 48 किमी/घंटा है।
और ट्रेन B की गति = 48 – 16 = 32
⇒ (96/32) – (96/48) = 1
⇒ 3 – 2 = 1
⇒ 1 = 1 (संतुष्ट करता है)
Last updated on Jul 19, 2025
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