A, B और C एक कार्य को क्रमशः 30 दिनों, 40 दिनों और 50 दिनों में कर सकते हैं। A से प्रारंभ करके, यदि A, B और C एकांतर रूप से कार्य करते हैं, तो कार्य कितने दिनों में समाप्त होगा?

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SSC CGL 2023 Tier-I Official Paper (Held On: 17 Jul 2023 Shift 2)
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  1. \(38\frac{1}{12}\)
  2. \(36\frac{1}{12}\)
  3. 36
  4. \(39\frac{1}{12}\)

Answer (Detailed Solution Below)

Option 1 : \(38\frac{1}{12}\)
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PYST 1: SSC CGL - English (Held On : 11 April 2022 Shift 1)
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25 Questions 50 Marks 12 Mins

Detailed Solution

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दिया गया है:

A एक कार्य को 30 दिनों में कर सकता है।

B एक कार्य को 40 दिनों में कर सकता है।

C एक कार्य को 50 दिनों में कर सकता है।

प्रयुक्त सूत्र:

कुल कार्य = दक्षता × समय

गणना:

दक्षता व्यक्ति समय कुल कार्य
20 A 30 600
15 B 40
12 C 50

प्रश्न के अनुसार:

⇒ (20 + 15 + 12) = 47 इकाई = 3 दिन

⇒ 47 × 12 = 564 इकाई = 3 × 12 = 36 दिन

⇒ (564 + 20 + 15) = 599 इकाई = 38 दिन

कुल कार्य = 600 इकाई = 38 + (1/12) = 38\(1\over12\) दिन

∴ सही उत्तर 38\(1\over12\) दिन है।

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