A एक कार्य को 14 दिनों में पूरा कर सकता है, जबकि A और B मिलकर इसे 3\( 1\over2\) दिनों में पूरा कर सकते हैं। B अकेले इसे पूरा करने में कितना समय लेगा?

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SSC CGL 2023 Tier-I Official Paper (Held On: 25 Jul 2023 Shift 3)
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  1. दिन
  2. दिन
  3. \(\frac{3}{14}\) दिन
  4. \(\frac{14}{3}\) दिन

Answer (Detailed Solution Below)

Option 4 : \(\frac{14}{3}\) दिन
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Detailed Solution

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दिया गया है:

A कार्य पूरा कर सकता है = 14 दिन

(A + B) कार्य पूरा कर सकता है = 7/2 दिन

प्रयुक्त सूत्र:

कुल कार्य = दक्षता × समय

गणना:

दक्षता  व्यक्ति समय कुल कार्य
1 A 14 14
4 (A +B) (7/2)

अब,

की दक्षता = (4 - 1) = 3 इकाई/दिन

कार्य को अकेले पूरा करने में लगा समय = 14/3 दिन

∴ सही उत्तर 14/3 दिन है।

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