Question
Download Solution PDF12 आदमी और 16 लड़के एक काम को 5 दिनों में कर सकते हैं, जबकि 13 आदमी और 24 लड़के इसे 4 दिनों में कर सकते हैं। 29 आदमी और 22 लड़के उस काम को कितने दिनों में पूरा कर सकते हैं?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
(12 आदमी + 16 लड़के) एक काम कर सकते हैं = 5 दिन
(13 आदमी + 24 लड़के) एक काम कर सकते हैं = 4 दिन
प्रयुक्त सूत्र:
कुल काम = दक्षता × समय
गणना:
मान लीजिए कि आदमी की दक्षता = M
लड़के की दक्षता = B
प्रश्न के अनुसार:
⇒ (12 M + 16 B) × 5 = (13 M + 24 B) × 4
⇒ 60 M - 52 M = 96 B - 80 B
⇒ 8 M = 16 B
⇒ M/B = 2/1
कुल काम = (12 M + 16 B) × 5
⇒ {(12 × 2) + (16 × 1)} × 5
⇒ (24 + 16) × 5 = 40 × 5 = 200 इकाई
काम पूरा करने के लिए आवश्यक समय = 200/{(29 × 2) + (22 × 1)}
⇒ 200/(58 + 22) = 200/80
⇒ 5/2 = 2.5 दिन
∴ सही उत्तर 2.5 दिन है।
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