Subject
Bank Exam
Topic
উত্তরা ব্যাংক (প্রবেশনারি অফিসার) - ০৯.১১.২০২৪
X can do a piece of work in 24 days. When he had worked for 4 days, Y joined him. If the work was completed in 16 days, Y alone can finish that work in:
X can do a piece of work in 24 days. When he had worked for 4 days, Y joined him. If the work was completed in 16 days, Y alone can finish that work in:
ক)
18 Daysখ)
27 Daysগ)
36 Daysঘ)
42 DaysExplanation
মনেকরি, Y কাজটি a দিনে করতে পারে। প্রশ্নমতে, 4/24 + 12(1/24 + 1/a) = 1 ⇒ 1/6 + 12/24 + 12/a = 1 ⇒ 1/6 + 1/2 + 12/a = 1 ⇒ (1 + 3)/6 + 12/a = 1 ⇒ 4/6 + 12/a = 1 ⇒ 12/a = 1 - 4/6 ⇒ 12/a = (6 - 4)/6 ⇒ 12/a = 2/6 ⇒ 2a = 6 × 12 ⇒ a = 36 ∴ Y কাজটি 36 দিনে করতে পারে।Related questions
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