A किसी कार्य का \(1 \over 3\) भाग 7 दिनों में पूरा कर सकता है और B उसी कार्य का \(2 \over 7\) भाग 10 दिनों में पूरा कर सकता है। A और B दोनों मिलकर उसी कार्य को कितने दिनों में पूरा कर सकते हैं?

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SSC CGL 2023 Tier-I Official Paper (Held On: 25 Jul 2023 Shift 2)
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  1. \(12{3 \over 8}\)
  2. \(11{7 \over 8}\)
  3. \(13{1 \over 8}\)
  4. \(15{1 \over 7}\)

Answer (Detailed Solution Below)

Option 3 : \(13{1 \over 8}\)
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Detailed Solution

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दिया गया है:

A एक कार्य को पूरा कर सकता है = 7 × 3 = 21 दिन

B एक कार्य पूरा कर सकता है = 10 × (7/2) = 35 दिन

प्रयुक्त सूत्र:

कुल कार्य = दक्षता × समय

गणना:

दक्षता  व्यक्ति समय कुल कार्य
5 21 105
3 35

अब,

A और B द्वारा कार्य पूरा करने में लिया गया समय = 105/8

⇒ 13\(1\over8\) दिन

∴ सही उत्तर 13\(1\over8\) दिन है।

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