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

Answer:

96 seconds are taken to empty the bucket.

Step-by-step 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:

$t = \frac{V}{\dot V}$ (1)

If we know that $V = 32\,gal$ and $\dot V = \frac{1}{3}\,\frac{gal}{s}$, then discharge time is:

$t = \frac{32\,gal}{\frac{1}{3}\,\frac{gal}{s} }$

$t = 96\,s$

96 seconds are taken to empty the bucket.