A और B किसी कार्य को 6 घंटे में कर सकते हैं तथा A, B और C मिलकर उसी कार्य को करने में 4 घंटे का समय लेते हैं। अकेले C को कार्य पूरा करने में कितना समय लगेगा?

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SSC CGL 2022 Tier-I Official Paper (Held On : 03 Dec 2022 Shift 2)
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  1. 12 घंटे
  2. 4 घंटे
  3. 2 घंटे
  4. 6 घंटे

Answer (Detailed Solution Below)

Option 1 : 12 घंटे
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दिया गया है:

A और B एक निश्चित कार्य को 6 घंटे में कर सकते हैं। 

A, B और C मिलकर इसी कार्य को करने में 4 घंटे का समय लेते हैं।

प्रयुक्त अवधारणा:

कुल कार्य = श्रमिकों की दक्षता × लिया गया समय

गणना:

मान लें कि कुल कार्य 12 इकाई है   [4 तथा 6 का लघुत्तम समापवर्त्य]

इसलिए, A तथा B की दक्षता = 12/6 = 2 इकाई/घंटा

A, B तथा C की दक्षता = 12/4 = 3 इकाई/घंटा

इसलिए,

C की दक्षता = 3 - 2

⇒ 1 इकाई/घंटा

C के द्वारा कार्य को पूरा करने में लगा समय = 12/1

⇒ 12 घंटे

अभीष्ट उत्तर 12 है।

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