Question
Download Solution PDF4 पुरुष और 6 महिलाएँ किसी कार्य को 8 दिनों में पूरा कर सकते हैं, जबकि 3 पुरुष और 7 महिलाएँ इसे 10 दिनों में पूरा कर सकते हैं। 10 महिलाएँ इसे कितने दिनों में पूरा करेंगी?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
4m + 6w = 8 दिन ----(1)
3m + 7w = 10 दिन ----(2)
प्रयुक्त सूत्र:
कुल कार्य = दक्षता × दिन
गणना:
समीकरण (1) और (2) को हल करने पर,
⇒ (4m + 6w) × 8 = (3m + 7w) × 10
⇒ 16m + 24w = 15m + 35w
⇒ 16m - 15m = 35w - 24w
⇒ m = 11w
⇒ m/w = 11/1
⇒ कुल कार्य = (4 × 11 + 6) × 8
⇒ कुल कार्य = 400 इकाई
⇒ 10 महिलाओं द्वारा लिया गया समय = 400/10
⇒ 10 महिलाओं द्वारा लिया गया समय = 40 दिन
∴ 10 महिलाएँ कार्य को 40 दिनों में पूरा कर सकती हैं।
Last updated on Jul 19, 2025
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