A, b and C can complete a piece of work in 16,32 and 48 and 48 days, respectively. They started working together but C left after working 4 days and B left 2 days before the completion of the work. How many days it took in total to complete the work? (work and time)

Shohan

5 views

2025-01-04 04:42

1 Answers

Shohan

প্রশ্নে বলা হচ্ছে, A, B এবং C একটি কাজ যথাক্রমে 16.32 এবং 48 দিনে করতে পারে। তারা একসাথে কাজ করা শুরু করল। কাজ শুরুর 4 দিন পর C কাজ ছেড়ে চলে গেল এবং B কাজ শেষ হবার 2 দিন আগে কাজ ছেড়ে চলে গেল। কাজটি কত দিনে সম্পন্ন হয়েছিলো?

Let, total work has been completed in x days.

A do the work = x days

B do the work = (x-2) days &

C do the work = 4 days

According to the question,

$\frac{x}{16} + \frac{x - 2}{32} + \frac{4}{48} = 1 \Rightarrow \frac{6 x + 3 (x - 2) + 8}{96} = 1 \Rightarrow 6 x + 3 x - 6 + 8 = 96 \Rightarrow 9 x + 2 = 96 \Rightarrow 9 x = 96 - 2 = 94 \Rightarrow x = \frac{94}{9} = 10.44 ∴ x = 10.44$

So, the work will be completed in 10.44 days. ans.

5 views Answered 2024-12-14 13:31

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