Question

Jackson and his sister ran a hose from a bucket into their swimming pool. The hose sprays 1/3 of a gallon from the bucket every second. The bucket started with 32 gallons of water. How long will it take to empty the bucket?

Answer 1

96 seconds are taken to empty the bucket.

Explanation:

According to this question, Jackson and his sister are spraying from the bucket from the bucket at constant rate. Dimensionally speaking, discharge time (
`t`), measured in seconds, is the ratio of volume of bucket (
`V`), measured in gallons, to the volume flow from hose (
`\dot V`), measured in gallons per second. That is:

`t = (V)/(\dot V)` (1)

If we know that
`V = 32\,gal` and
`\dot V = (1)/(3)\,(gal)/(s)`, then discharge time is:

`t = (32\,gal)/((1)/(3)\,(gal)/(s) )`

`t = 96\,s`

96 seconds are taken to empty the bucket.