Question
Download Solution PDFकार पहिल्या 160 किमीचा प्रवास 64 किमी/तास वेगाने करते आणि पुढील 160 किमी 80 किमी/तास वेगाने करते. दौऱ्याच्या पहिल्या 320 किमीचा सरासरी वेग किती आहे?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:
पहिल्या 160 किमीसाठी वेग = 64 किमी/तास
दुसऱ्या 160 किमीसाठी वेग = 80 किमी/तास
वापरलेले सूत्र:
सरासरी वेग = एकूण अंतर / एकूण घेतलेला वेळ
ठराविक अंतर कापण्यासाठी लागणारा वेळ = अंतर/वेग
गणना:
एकूण अंतर = 160 + 160 = 320 किमी
160 किमी अंतर कापण्यासाठी लागणारा वेळ 64 किमी/तास = 160/64
⇒ 10/4 तास = 2.5 तास
80 किमी/तास या वेगाने 160 किमी अंतर कापण्यासाठी लागणारा वेळ =
160/80
⇒ 2 तास
320 किमी अंतर कापण्यासाठी लागणारा एकूण वेळ = 2 + 2.5 = 4.5 तास
सरासरी वेग = 320/4.5
⇒ 640/9 = 71.11 किमी/तास
∴ योग्य उत्तर 71.11 किमी/तास आहे.
Shortcut Trickगणना:
| वेळ | वेग | अंतर |
| 5 | 64 | 320 |
| 4 | 80 |
आता,
सरासरी वेग = (320 × 2)/(5 + 4)
⇒ 640/9 = 71.11 किमी/तास
∴ योग्य उत्तर 71.11 किमी/तास आहे.
Last updated on Jul 21, 2025
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