A और B एक कार्य को क्रमशः 5 दिन और 10 दिन में कर सकते हैं। वे एक साथ कार्य शुरू करते हैं लेकिन A कुछ दिनों के बाद कार्य को छोड़ देता है और B शेष कार्य को 8 दिनों में पूरा कर लेता है। A कितने दिनों के बाद चला गया था?

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SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 2)
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  1. \(3\frac{1}{8}\)
  2. \(5\frac{1}{8}\)
  3. \(6\frac{1}{8}\)
  4. \(\frac{2}{3}\)

Answer (Detailed Solution Below)

Option 4 : \(\frac{2}{3}\)
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Detailed Solution

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दिया गया है:

A एक कार्य को कर सकता है = 5 दिनों में 

B एक कार्य को कर सकता है = 10 दिनों में

प्रयुक्त सूत्र:

कुल कार्य = दक्षता × समय

गणना:

माना कि, एक साथ कार्य करने के दिनों की संख्या (A + B) = D है। 

दक्षता व्यक्ति समय कुल कार्य
2 A 5 10
1 B 10

प्रश्न के अनुसार:

⇒ (A + B) × D + B × 8 = 10

⇒ (2 + 1) × D + 1 × 8 = 10

⇒  3 × D = (10 - 8)

⇒ D = 2/3 दिन

∴ सही उत्तर 2/3 दिन है।

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