Question

.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. How many hours will it take for the bucket to be completely empty? What must you do to the mixed number in order to solve this problem?

Answer 1

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 = ((a* q)+p)/(q)`

So, 1 3/4 = 7/4 .

Let, after t hours bucket is empty.

`(7)/(4)-(1)/(4)t = 0\\\\t = 7\ hour`

Therefore, it takes 7 hours for the bucket to be completely empty.

Hence, this is the required solution.