A একটা কাজ 9 দিনে, B 12 দিনে এবং C 15 দিনে শেষ করতে পারে। যদি A এবং C 4 দিন কাজ করে ছেড়ে যায়, তাহলে B বাকি কাজটি কত দিনে শেষ করবে?

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  1. 4(2/3) দিন
  2. 3(7/15) দিন
  3. 3(1/15) দিন
  4. 4(1/5) দিন
  5. 3(1/2) দিন

Answer (Detailed Solution Below)

Option 2 : 3(7/15) দিন
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A একটা কাজ 9 দিনে, B 12 দিনে এবং C 15 দিনে শেষ করতে পারে।

ধরা যাক, মোট কাজ = 180 ইউনিট

তাহলে, A-এর একদিনের কাজ = (180/9) = 20 ইউনিট

B-এর একদিনের কাজ = (180/12) = 15 ইউনিট

C-এর একদিনের কাজ = (180/15) = 12 ইউনিট

A এবং C 4 দিনে যে পরিমাণ কাজ করেছে = 4(20+12)=128 ইউনিট

বাকি কাজ = 180 - 128 = 52 ইউনিট

B বাকি কাজটি শেষ করতে নেবে = (52/15) = 3(7/15) দিন

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