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

A. $${\text{ 1 minute}}$$

B. $$\frac{9}{4}{\text{ minute}}$$

C. $$\frac{5}{4}{\text{ minute}}$$

D. $$\frac{4}{5}{\text{ minute}}$$

Answer: Option C

Solution(By Examveda Team)

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