10 জন মহিলা একটি কাজ 6 দিনে এবং 6 জন পুরুষ 5 দিনে ওই একই কাজ করতে পারেন। এই সব নারী-পুরুষ একসঙ্গে কাজ করলে এই কাজটি শেষ করতে কত দিন লাগবে?

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SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 3)
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  1. \(2 \frac{8}{11}\)
  2. \(4 \frac{6}{11}\)
  3. \(1 \frac{2}{11}\)
  4. \(3 \frac{4}{11}\)

Answer (Detailed Solution Below)

Option 1 : \(2 \frac{8}{11}\)
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প্রদত্ত:

10 জন মহিলা একটি কাজ 6 দিনে করতে পারেন।

6 জন পুরুষ 5 দিনে ওই একই কাজ করতে পারেন।

অনুসৃত সূত্র:

কাজ সম্পন্ন = সময় x দক্ষতা

গণনা:

⇒ 10W x 6 = 6M x 5

⇒ 60W = 30M

⇒ W/M = 1/2

মোট কাজ = 60

সময় = 60/(10 x 1 + 6 x 2)

⇒ 60/22 = 30/11

\(2 \frac{8}{11}\)

∴ সঠিক উত্তরটি হল  \(2 \frac{8}{11}\) 

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