4949\frac{4}{9} th of a bucket is filled in 1 minute, the rest of it will be filled in ?" /> 4949\frac{4}{9} th of a bucket is filled in 1 minute, the rest of it will be filled in ?" /> 4949\frac{4}{9} th of a bucket is filled in 1 minute, the rest of it will be filled in ?" />

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If $\frac{4}{9}$ $\frac{4}{9}$ th of a bucket is filled in 1 minute, the rest of it will be filled in ?

1 $1 minute$ ${\text{ 1 minute}}$
2 $\frac{9}{4} minute$ $\frac{9}{4}{\text{ minute}}$
3 $\frac{5}{4} minute$ $\frac{5}{4}{\text{ minute}}$
4 $\frac{4}{5} minute$ $\frac{4}{5}{\text{ minute}}$

Answer:- 1

Explanation:-

Solution:

Remaining part

\begin{aligned} = (1 - \frac{4}{9}) \\ = \frac{5}{9} \end{aligned}

$\eqalign{ & = \left( {1 - \frac{4}{9}} \right) \cr & = \frac{5}{9}{\text{ }} \cr}$
Let the required time be x minutes
More volume to be filled , More time taken (Direct proportion)

\begin{aligned} ∴ \frac{4}{9} : \frac{5}{9} :: 1 : x \\ \Rightarrow \frac{4}{9} x = \frac{5}{9} \\ \Rightarrow x = (\frac{5}{9} \times \frac{9}{4}) \\ \Rightarrow x = \frac{5}{4} \end{aligned}

$\eqalign{ & \therefore {\text{ }}\frac{4}{9}:\frac{5}{9}::1:x \cr & \Rightarrow \frac{4}{9}x = \frac{5}{9} \cr & \Rightarrow x = \left( {\frac{5}{9} \times \frac{9}{4}} \right) \cr & \Rightarrow x = \frac{5}{4}{\text{ }} \cr}$

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th of a bucket is filled in 1 minute, the rest of it will be filled in ?", "text": "If

\frac{4}{9}

$\frac{4}{9}$ th of a bucket is filled in 1 minute, the rest of it will be filled in ?", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" }, "answerCount": "4", "acceptedAnswer": { "@type": "Answer", "text": "

Solution:

Remaining part

\begin{aligned} = (1 - \frac{4}{9}) \\ = \frac{5}{9} \end{aligned}

$\eqalign{ & = \left( {1 - \frac{4}{9}} \right) \cr & = \frac{5}{9}{\text{ }} \cr}$
Let the required time be x minutes
More volume to be filled , More time taken (Direct proportion)

\begin{aligned} ∴ \frac{4}{9} : \frac{5}{9} :: 1 : x \\ \Rightarrow \frac{4}{9} x = \frac{5}{9} \\ \Rightarrow x = (\frac{5}{9} \times \frac{9}{4}) \\ \Rightarrow x = \frac{5}{4} \end{aligned}

$\eqalign{ & \therefore {\text{ }}\frac{4}{9}:\frac{5}{9}::1:x \cr & \Rightarrow \frac{4}{9}x = \frac{5}{9} \cr & \Rightarrow x = \left( {\frac{5}{9} \times \frac{9}{4}} \right) \cr & \Rightarrow x = \frac{5}{4}{\text{ }} \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

Remaining part

\begin{aligned} = (1 - \frac{4}{9}) \\ = \frac{5}{9} \end{aligned}

$\eqalign{ & = \left( {1 - \frac{4}{9}} \right) \cr & = \frac{5}{9}{\text{ }} \cr}$
Let the required time be x minutes
More volume to be filled , More time taken (Direct proportion)

\begin{aligned} ∴ \frac{4}{9} : \frac{5}{9} :: 1 : x \\ \Rightarrow \frac{4}{9} x = \frac{5}{9} \\ \Rightarrow x = (\frac{5}{9} \times \frac{9}{4}) \\ \Rightarrow x = \frac{5}{4} \end{aligned}

$\eqalign{ & \therefore {\text{ }}\frac{4}{9}:\frac{5}{9}::1:x \cr & \Rightarrow \frac{4}{9}x = \frac{5}{9} \cr & \Rightarrow x = \left( {\frac{5}{9} \times \frac{9}{4}} \right) \cr & \Rightarrow x = \frac{5}{4}{\text{ }} \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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