A এবং B একা একটি কাজ যথাক্রমে 4 এবং 9 দিনে করতে পারে। B দিয়ে শুরু করে উভয়ে একান্তর দিনে কাজ করলে, কত দিনে কাজটি শেষ হবে?

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SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 2)
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  1. \(5\frac{1}{3}\)
  2. \(5\frac{2}{3}\)
  3. 5
  4. \(5\frac{1}{4}\)

Answer (Detailed Solution Below)

Option 2 : \(5\frac{2}{3}\)
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Detailed Solution

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প্রদত্ত:

A একটি কাজ করতে পারে = 4 দিনে

B একটি কাজ করতে পারে = 9 দিনে

অনুসৃত সূত্র:

মোট কাজ = দক্ষতা × সময়

গণনা:

দক্ষতা ব্য়ক্তি সময় মোট কাজ
9 A 4 36
4 B 9

অতএব,

(B + A) = 4 + 9 = 13 একক = 2 দিন

⇒ (13 × 2) = 26 একক =  (2 × 2) = 4 দিন

⇒ 30 একক = 5 দিন

⇒ 36 একক = 5 + (6/9) = 5\(2\over3\) দিন

∴ সঠিক উত্তর হল 5\(2\over3\) দিন

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