दोन व्यक्ती A आणि B स्वतंत्रपणे काम करत आहेत ते अनुक्रमे 6 आणि 10 तासांत इमारत निर्जंतुक करू शकतात. ते आळीपाळीने तासभर काम करतात. A सकाळी 8 वाजता सुरू झाले तर काम कधी संपणार?

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SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 3)
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  1. 9\(\frac{1}{3}\) \(\frac{1}{3}\) तास
  2. 7\(\frac{1}{3}\) \(\frac{1}{3}\) तास
  3. \(\frac{1}{3}\) तास
  4. \(\frac{1}{3}\)\(\frac{1}{3}\) तास

Answer (Detailed Solution Below)

Option 2 : 7\(\frac{1}{3}\) \(\frac{1}{3}\) तास
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Detailed Solution

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दिलेल्याप्रमाणे:

व्यक्ती A इमारतीचे निर्जंतुकीकरण करू शकते = 6 तास

व्यक्ती B इमारतीचे निर्जंतुकीकरण करू शकते = 10 तास

वापरलेली संकल्पना:

कार्यक्षमता × वेळ = एकूण काम

गणना:

कार्यक्षमता व्यक्ती वेळ एकूण काम
5 A 6 30
3 B 10

आता, प्रश्नानुसार:

⇒ (5 + 3) = 8 युनिट = 2 तास

एकूण काम पूर्ण करण्यासाठी एकूण वेळ लागतो = 7 \(1\over3\) तास

∴ योग्य उत्तर 7 \(1\over3\) तास आहे.

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