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In 1 minute 4/9th of a bucket is filled. The rest of the bucket can be filled in

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4/9th of bucket is filled in 1 min

1 bucket is filled in (1 ÷ 4/9 = 9/4) minutes

So, rest 5/9th bucket is filled in =9/4 × 5/9 minutes

= 5/4 minutes