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:
Solution
Correct Answer: Option C
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।
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।
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