4 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?

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SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 4)
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  1. 44
  2. 40
  3. 15
  4. 16

Answer (Detailed Solution Below)

Option 2 : 40
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Detailed Solution

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दिया 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।

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