Question
Download Solution PDFअपने गृहनगर जाते समय रमेश ने पहले 250 किमी की यात्रा 75 किमी/घंटा की गति से और अगले 250 किमी की यात्रा 85 किमी/घंटा की गति से करता है। पूरी यात्रा के दौरान उसकी औसत गति (दशमलव के 2 स्थानों तक सही) ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
पहले 250 किमी के लिए रमेश की गति = 75 किमी/घंटा
दूसरे 250 किमी के लिए रमेश की गति = 85 किमी/घंटा
प्रयुक्त सूत्र:
औसत गति = कुल दूरी/कुल लिया गया समय
गणना:
कुल दूरी = 250 + 250 = 500 किमी
कुल लिया गया समय = (250/75) + (250/85)
⇒ 250 × (1/75 + 1/85)
⇒ 250× {(17 + 15)/1275}
⇒ 320/51
औसत गति = कुल दूरी/कुल लिया गया समय
⇒ 500/(320/51) = (500 × 51)/320
⇒ (25 × 51)/16 = 79.68 किमी/घंटा
∴ सही उत्तर 79.68 किमी/घंटा है।
Alternate Method
गणना:
| समय | गति | दूरी |
| 17 | 75 | 1275 |
| 15 | 85 |
अब,
औसत गति = (1275 × 2)/(17 + 15)
⇒ 2550/32 = 1275/16 = 79.68 किमी/घंटा
∴ सही उत्तर 79.68 किमी/घंटा है।
Last updated on Jul 19, 2025
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