Question

A swimming pool is to be drained. The pool is shaped like a rectangular prism with length 28 ft, width 14 ft, and depth 5 ft. Suppose water is pumped out of the
pool at a rate of 140 ft per hour. If the pool starts completely full, how many hours does it take to empty the pool?

Answer 1

We need volume

$\\ \tt\hookrightarrow LBH$

• L=length
• B=width
• H=height

$\\ \tt\hookrightarrow V=28(14)(5)$

$\\ \tt\hookrightarrow V=1960ft^3$

• Rate of output=140ft

Total time

$\\ \tt\hookrightarrow \dfrac{1960}{140}=14h$

Answer 2

Answer:

• 14 hours

Step-by-step explanation:

We know that:

• L = 28 ft.
• W = 14 ft.
• D = 5 ft.
• 140 ft. = 1h

Solution:

• Volume of pool: 28 x 14 x 5
• => Volume of pool: 14 x 14 x 5 x 2
• => Volume of pool: 196 x 10
• => Volume of pool: 1960 ft³
• => Time to empty the pool: 1960/140
• => Time to empty the pool: 14 hours

Hence, it takes 14 hours to empty the pool.