The total time taken to fill the bucket completely is 3 hours 45 minutes
The time taken to fill the bucket by one tap= 6 hours
Then the time take by one tap to fill half of the bucket= 3 hours
Part filled by one tap in one hour =![\frac{1}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%7D)
Part filled by four taps in one hour =![4(\frac{1}{6})=\frac{4}{6}=\frac{2}{3}](https://tex.z-dn.net/?f=4%28%5Cfrac%7B1%7D%7B6%7D%29%3D%5Cfrac%7B4%7D%7B6%7D%3D%5Cfrac%7B2%7D%7B3%7D)
Given, that after half the bucket is filled, three more similar taps are opened
Then the remaining part = ![1-\frac{1}{2}=\frac{1}{2}](https://tex.z-dn.net/?f=1-%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B1%7D%7B2%7D)
Time taken to fill the half of the bucket=
hours
Convert the hours to minutes
minutes
Therefore,
Total time taken to fill the bucket= The time taken by one tap to fill half of the bucket+ Time taken by 4 taps to fill the half of the bucket
=3 hours+ 45 minutes
=3 hours 45 minutes
Hence, The total time taken to fill the bucket completely is 3 hours 45 minutes
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