A একটি কাজের \(1 \over 3\) অংশ 7 দিনে সম্পূর্ণ করতে পারে, এবং B একই কাজের \(2 \over 7\) অংশ 10 দিনে সম্পূর্ণ করতে পারে। A এবং B উভয় মিলে কত দিনে কাজটি শেষ করতে পারবে?

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 25 Jul 2023 Shift 2)
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  1. \(12{3 \over 8}\)
  2. \(11{7 \over 8}\)
  3. \(13{1 \over 8}\)
  4. \(15{1 \over 7}\)

Answer (Detailed Solution Below)

Option 3 : \(13{1 \over 8}\)
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Detailed Solution

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প্রদত্ত:

A একটি কাজ সম্পূর্ণ করতে পারে = 7 x 3 = 21 দিনে

B একটি কাজ সম্পূর্ণ করতে পারে = 10 x (7/2) = 35 দিনে

অনুসৃত সূত্র:

মোট কাজ = দক্ষতা x সময়

গণনা:

দক্ষতা ব্যক্তি সময় মোট কাজ
5 A 21 105
3 B 35

এখন,

A এবং B একসাথে কাজটি সম্পূর্ণ করতে সময় নেয় = 105/8

⇒ 13\(1\over8\) দিন

∴ সঠিক উত্তর হল 13\(1\over8\) দিন।

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