A और B अकेले एक कार्य को क्रमशः 4 और 9 दिनों में पूरा कर सकते हैं। यदि वे दोनों B से प्रारंभ करके एकांतर दिनों में कार्य करते हैं, तो कार्य कितने दिनों में पूरा हो जाएगा?

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SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 2)
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  1. \(5\frac{1}{3}\)
  2. \(5\frac{2}{3}\)
  3. 5
  4. \(5\frac{1}{4}\)

Answer (Detailed Solution Below)

Option 2 : \(5\frac{2}{3}\)
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Detailed Solution

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दिया गया है:

A एक कार्य को पूरा कर सकता है = 4 दिनों में 

B एक कार्य को पूरा कर सकता है = 9 दिनों में 

प्रयुक्त सूत्र:

कुल कार्य = दक्षता × समय

गणना:

दक्षता व्यक्ति समय कुल कार्य
9 A 4 36
4 B 9

अब,

(B + A) = 4 + 9 = 13 इकाइयाँ = 2 दिन

⇒ (13 × 2) = 26 इकाइयाँ =  (2 × 2) = 4 दिन

⇒ 30 इकाइयाँ = 5 दिन

⇒ 36 इकाइयाँ = 5 + (6/9) = 5\(2\over3\) दिन

∴ सही उत्तर 5\(2\over3\) दिन है। 

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