दो व्यक्ति A और B भिन्न कार्य करते हुए एक इमारत को क्रमश: 6 और 10 घंटे में स्वच्छ कर सकते हैं। वे बारी-बारी से एक घंटे के स्ट्रेच में कार्य करते हैं। यदि A सुबह 8 बजे प्रारंभ करता है, तो कार्य कब समाप्त होगा?

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SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 3)
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  1. 9 घंटे
  2. 7 घंटे
  3. 6 घंटे
  4. 8 घंटे

Answer (Detailed Solution Below)

Option 2 : 7 घंटे
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PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
25 Qs. 50 Marks 10 Mins

Detailed Solution

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दिया गया है:

व्यक्ति A एक इमारत को स्वच्छ कर सकता है = 6 घंटे में

व्यक्ति B एक इमारत को स्वच्छ कर सकता है = 10 घंटे में 

प्रयुक्त अवधारणा:

दक्षता × समय = कुल कार्य

गणना:

दक्षता व्यक्ति समय कुल कार्य
5 A 6 30
3 B 10

अब, प्रश्न के अनुसार:

⇒ (5 + 3) = 8 इकाई = 2 घंटे

⇒ 2 घंटे = 8 इकाई

इसलिए

⇒ 6 घंटे = 8 × 3 = 24 इकाई

7 घंटे में पूरा किया गया कार्य = 24 + 5 = 29 इकाई

शेष कार्य = 30 - 29 = 1 इकाई

1 इकाई कार्य B द्वारा 1/3 घंटे में पूरा किया जाता है।

कुल कार्य को पूरा करने में लगा कुल समय = 7 घंटे

∴ सही उत्तर 7 घंटे है।

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