The total time taken to fill the bucket completely is 3 hours and 45 minutes.
<h3>What is Division?</h3>
The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Let the volume of the bucket be represented by x. Then the rate at which the complete bucket can be filled is,
Rate = Total volume/ Time taken to fill the bucket
Rate = x / 6
Now, the time it will take for the half bucket, therefore, x/2 bucket to fill,
Rate = Volume / Time
x/6 = (x/2) / Time
Time = (x/2) / (x/6)
Time = 3 hours
Now, since three more such taps are opened, therefore, the rate of filling the bucket will be,
Rate = 4 × Rate of a single tap
= 4 × (x/6)
= 4x / 6
= 2x / 3
Further, the time it will take for the four taps to fill the half bucket is,
Rate = Volume / Time
2x/3 = (x/2) / Time
Time = (x/2) / (2x/3)
Time = 3/4 hours
Furthermore, the total time taken to fill the bucket completely is,
Total time = 3 hours + 3/4 hours
= 3 3/4 hours
= 3.75 hours
= 3 hours and 45 minutes
Hence, the total time taken to fill the bucket completely is 3 hours and 45 minutes.
Learn more about Division here:
brainly.com/question/369266
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