A, B से 40% अधिक कुशल है। दोनों एकसाथ कार्य करते हुए उस कार्य को पूरा करने में कितना समय लेंगे, जिसे B अकेले 36 दिनों में पूरा कर सकता है?

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SSC CGL 2022 Tier-I Official Paper (Held On : 12 Dec 2022 Shift 3)
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  1. 18 दिन
  2. \(9\frac{1}{3}\) दिन
  3. 15 दिन
  4. \(11\frac{2}{3}\) दिन

Answer (Detailed Solution Below)

Option 3 : 15 दिन
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दिया गया है:

A, B से 40% अधिक कुशल है।

B कार्य को 36 दिनों में पूरा कर सकता है।

प्रयुक्त अवधारणा:

कुल कार्य = श्रमिक की दक्षता × श्रमिक द्वारा लिया गया समय

गणना:

मान लीजिये कि B की दक्षता 10a है

इसलिए, A की दक्षता

 = 10a × 140%

⇒ 14a

इसलिए, कुल कार्य = 10a × 36

⇒ 360a

अब,

अगर वे दोनों कार्य करते हैं तो समय = 360a/(14a + 10a)

⇒ 360a/24a

⇒ 360/24

⇒ 15

अभीष्ट उत्तर 15 दिन है।

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