दो व्यक्ति P और Q मिलकर किसी कार्य को 36 दिनों में कर सकते हैं। P, Q की तुलना में 3 गुना दक्ष है। Q अकेले कार्य को कितने दिनों में पूरा कर सकता है?

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SSC CGL 2022 Tier-I Official Paper (Held On : 09 Dec 2022 Shift 4)
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  1. 148
  2. 140
  3. 144
  4. 146

Answer (Detailed Solution Below)

Option 3 : 144
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दिया गया है:

दो व्यक्ति P और Q मिलकर किसी कार्य को 36 दिनों में कर सकते हैं।

P, Q की तुलना में 3 गुना दक्ष है।​

प्रयुक्त अवधारणा:

कुल कार्य = दक्षता (प्रति दिन किया गया कार्य) × कुल लिया गया समय

गणना:

मान लीजिए, P और Q क्रमशः 3x और x इकाई कार्य करते हैं।

कुल कार्य = 36(3x + x) = 144x इकाई

अब, Q द्वारा अकेले कार्य को पूरा करने में लिया गया समय = 144x ÷ x = 144 दिन

Q अकेले कार्य को पूरा करने में 144 दिन का समय लेगा।

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