राजा आणि रॉकी मिळून एक रंगकाम 5 दिवसांत पूर्ण करू शकतात. ते दोघे एकत्रितपणे रंगकाम सुरू करतात, पण 2 दिवसांनंतर रॉकी आजारी पडतो आणि काम सोडतो. जर राजाने उर्वरित रंगकाम 4 दिवसांत पूर्ण केले तर रॉकी एकटा किती दिवसांत ते काम करू शकतो ते शोधा.

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SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 2)
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  1. 12 दिवस
  2. 15 दिवस 
  3. 20 दिवस
  4. 10 दिवस

Answer (Detailed Solution Below)

Option 3 : 20 दिवस
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Detailed Solution

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दिलेले आहे:

(राजा + रॉकी) मिळून रंगकाम पूर्ण करू शकतात = 5 दिवसांत 

वापरलेले सूत्र:

एकूण काम = कार्यक्षमता × वेळ

गणना:

प्रश्नानुसार:

⇒ (राजा + रॉकी) × 2 + राजा × 4 = (राजा + रॉकी) × 5

राजा × 4 = (राजा + रॉकी) × 3

राजा × 1 = रॉकी × 3

राजा/रॉकी = 3/1

एकूण काम = (राजा + रॉकी) × 5

⇒ (3 + 1) × 5 = 4 × 5

⇒ 20 एकक

रंगकाम पूर्ण करण्यासाठी रॉकीने एकट्याने घेतलेला वेळ = 20/1 = 20 दिवस

∴ 20 दिवस हे योग्य उत्तर आहे. 

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