A এবং B একটি কাজ যথাক্রমে 5 দিন এবং 10 দিনে করতে পারে। তারা একসাথে কাজ শুরু করে কিন্তু A কিছু দিন পরে কাজ ছেড়ে দেয় এবং B বাকি কাজ 8 দিনে শেষ করে। তাহলে A কত দিন পর চলে যায়?

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SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 2)
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  1. \(3\frac{1}{8}\)
  2. \(5\frac{1}{8}\)
  3. \(6\frac{1}{8}\)
  4. \(\frac{2}{3}\)

Answer (Detailed Solution Below)

Option 4 : \(\frac{2}{3}\)
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Detailed Solution

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প্রদত্ত:

A একটি কাজ করতে পারে = 5 দিনে 

B একটি কাজ করতে পারে = 10 দিনে 

অনুসৃত সূত্র:

মোট কার্য = দক্ষতা × সময়

গণনা:

ধরা যাক, (A + B) -এর একসাথে কাজ করার দিন সংখ্যা = D

দক্ষতা ব্যক্তি সময় মোট কার্য
2 A 5 10
1 B 10

প্রশ্ন অনুযায়ী:

⇒ (A + B) × D + B × 8 = 10

⇒ (2 + 1) × D + 1 × 8 = 10

⇒  3 × D = (10 - 8)

⇒ D = 2/3 দিন 

∴ সঠিক উত্তর হল 2/3 দিন। 

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