प्रतिदिन 5 घंटे कार्य करके, A एक कार्य को 8 दिनों में पूरा कर सकता है और प्रतिदिन 6 घंटे कार्य करके, B उसी कार्य को 10 दिनों में पूरा कर सकता है, तब प्रतिदिन 8 घंटे कार्य करके, वे संयुक्त रूप से कार्य को कितने दिनों में पूरा कर सकते हैं?

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SSC CGL 2023 Tier-I Official Paper (Held On: 17 Jul 2023 Shift 2)
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  1. 5 दिन
  2. 3 दिन
  3. 4.5 दिन
  4. 6 दिन

Answer (Detailed Solution Below)

Option 2 : 3 दिन
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दिया गया है:

A के कार्य के घंटे = 5 घंटे/दिन

A एक कार्य को 8 दिनों में पूरा कर सकता है।

के कार्य के घंटे = 6 घंटे/दिन

B उसी कार्य को 10 दिनों में पूरा कर सकता है। 

प्रयुक्त अवधारणा:

M1 × D1 × H1 = M2 × D2 × H2

M = व्यक्ति; D = दिन ; H = घंटे  

गणना:

प्रश्नानुसार:

⇒ A × 5 × 8 = B × 6 × 10

⇒ A/B = 3/2

कुल कार्य =  A × 5 × 8 = 3 × 40 = 120 इकाई

लिया गया अभीष्ट समय = 120/{(3 + 2) × 8}

⇒ 120/40 = 3 दिन

∴ सही उत्तर 3 दिन है।

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