Answer:
the length of the table is 108 inches
Given :
A bucket is filled with 1 3/4 gallons of water.
The bucket has a small hole and 1/4 gallon leaks out every hour.
To Find :
How many hours will it take for the bucket to be completely empty.
Solution :
We know , mixed fraction of form a p/q is given by :
![a\ p/q = \dfrac{(a\times q)+p}{q}](https://tex.z-dn.net/?f=a%5C%20p%2Fq%20%3D%20%5Cdfrac%7B%28a%5Ctimes%20q%29%2Bp%7D%7Bq%7D)
So, 1 3/4 = 7/4 .
Let, after t hours bucket is empty.
![\dfrac{7}{4}-\dfrac{1}{4}t = 0\\\\t = 7\ hour](https://tex.z-dn.net/?f=%5Cdfrac%7B7%7D%7B4%7D-%5Cdfrac%7B1%7D%7B4%7Dt%20%3D%200%5C%5C%5C%5Ct%20%3D%207%5C%20hour)
Therefore, it takes 7 hours for the bucket to be completely empty.
Hence, this is the required solution.