A tap fills a bucket in 4.5 minutes, but a hole in the bucket would empty it in 6.3 minutes. With the tap on and the hole open, how many minutes does it take to fill the bucket?

Question

Accepted Answer

15.75. Net rate = 1/4.5 − 1/6.3 = (6.3 − 4.5)/(4.5 × 6.3) = 1.8/28.35, so time = 28.35/1.8 = 15.75 minutes.

A tap fills a bucket in 4.5 minutes, but a hole in the bucket would empty it in 6.3 minutes. With the tap on and the hole open, how many minutes does it take to fill the bucket?

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