राजू आणि रजत यांना एकत्रितपणे एक काम पूर्ण करण्यासाठी 5 दिवस लागतात. जर एकटा राजू हे काम 7 दिवसांत करू शकतो, तर रजतला तेच काम पूर्ण करण्यासाठी किती वेळ लागेल?

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SSC CGL 2023 Tier-I Official Paper (Held On: 25 Jul 2023 Shift 1)
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  1. 18 दिवस
  2. 16.5 दिवस
  3. 17 दिवस
  4. 17.5 दिवस

Answer (Detailed Solution Below)

Option 4 : 17.5 दिवस
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Detailed Solution

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दिलेले आहे:

(राजू + रजत) यांना एकत्रितपणे काम पूर्ण करण्यासाठी लागणारा वेळ = 5 दिवस

एकट्या राजूला काम पूर्ण करण्यासाठी लागणारा वेळ = 7 दिवस

वापरलेले सूत्र:

एकूण काम = कार्यक्षमता × वेळ

गणना:

कार्यक्षमता व्यक्ती वेळ एकूण काम
7 राजू + रजत 5 35
5 राजू 7

आता,

रजतची कार्यक्षमता = (7 - 5) = 2 एकक/दिवस

रजतला काम पूर्ण करण्यासाठी लागणारा वेळ = 35/2 = 17.5 दिवस

∴ 17.5 दिवस हे योग्य उत्तर आहे.

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