X आणि Y एक काम अनुक्रमे 9 आणि 36 दिवसांत पूर्ण करू शकतात. X काम करायला सुरुवात करतो आणि ते एकआड दिवस काम करतात. संपूर्ण काम किती दिवसांत पूर्ण होईल?

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SSC CGL 2023 Tier-I Official Paper (Held On: 14 Jul 2023 Shift 2)
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  1. \(12 \frac{1}{2} \) दिवस
  2. \(14 \frac{1}{4} \) दिवस
  3. \(13 \frac{1}{3} \) दिवस
  4. \(15 \frac{1}{5}\) दिवस

Answer (Detailed Solution Below)

Option 2 : \(14 \frac{1}{4} \) दिवस
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दिलेले आहे:

X आणि Y एक काम अनुक्रमे 9 आणि 36 दिवसांत पूर्ण करू शकतात.

वापरलेले सूत्र:

काम = कार्यक्षमता × वेळ

गणना:

एकूण काम = (9, 36) चा लसावि

एकूण काम = 36 एकक

X ची कार्यक्षमता = 36/9 = 4 एकक/दिवस

Y ची कार्यक्षमता = 36/36 = 1 एकक/दिवस

X आणि Y एकआड दिवस काम करतात, X कामास सुरुवात करत असेल, तर

दोघांनी 2 दिवसांत 5 एकक काम केले आहे.

= (5 × 7) एकक → (2 × 7) दिवस

14 दिवसांत दोघांनी केलेले काम = 35 एकक

उर्वरित काम 1 एकक आहे, जे X हा 1/4 दिवसांत पूर्ण करेल.

एकूण लागलेला वेळ = 14 + 1/4

संपूर्ण काम 14(1/4) दिवसांत पूर्ण होईल.

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