A একটি কাজ 18 দিনে সম্পূর্ণ করতে পারে, যেখানে B এটি 12 দিনে সম্পূর্ণ করতে পারে। B এটিতে 4 দিন ধরে কাজ করেছিল। তাহলে A-এর অবশিষ্ট কাজ শেষ করতে কতদিন সময় লাগবে?  

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 17 Jul 2023 Shift 4)
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  1. 16 দিন 
  2. 12 দিন
  3. 14 দিন
  4. 10 দিন 

Answer (Detailed Solution Below)

Option 2 : 12 দিন
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প্রদত্ত:

A একটি কাজ সম্পূর্ণ করতে পারে = 18 দিনে

B একটি কাজ সম্পূর্ণ করতে পারে = 12 দিনে

অনুসৃত সূত্র:

মোট কার্য = দক্ষতা × সময়

গণনা:

দক্ষতা ব্যাক্তি সময় মোট কার্য
2 A 18 36
3 B 12

প্রশ্ন অনুযায়ী:

⇒ (B × 4) + A × D = 36

⇒ (3 × 4) + 2 × D = 36

⇒ 2 × D = 36 - 12

⇒ D = 24/2 = 12

∴ সঠিক উত্তর হল 12 দিন। 

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