8 জন পুরুষের কাজ 10 দিনে শেষ হয়। 10 জন মহিলার দ্বারা একই কাজ 12 দিনে সম্পন্ন করা যেতে পারে। 4 জন পুরুষ এবং 4 জন মহিলা একই কাজ সম্পাদন করতে নিযুক্ত হলে এটি সম্পূর্ণ হতে কত দিন সময় লাগবে?

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 3)
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  1. 12
  2. 6
  3. 10
  4. 8

Answer (Detailed Solution Below)

Option 1 : 12
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Detailed Solution

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প্রদত্ত:

8 জন পুরুষের কাজ 10 দিনে শেষ হয়।

10 জন মহিলার দ্বারা একই কাজ 12 দিনে সম্পন্ন করা যেতে পারে।

অনুসৃত সূত্র :

M1H1D1/W1 = M2H2D2/W2

গণনা:

⇒ 8M x 10 = 10W x 12

⇒ 80M = 120W

⇒ M/W = 120/80 = 3/2

মোট কাজ = 8 x 3 x 10 = 240

এখন, 240 = (4M + 4W) x সময়

⇒ সময় = 240/(4 x 3 + 4 x 2)

⇒ সময় = 240/20 = 12 দিন

∴ সঠিক উত্তর হল 12 দিন।

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