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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?

Sagot :

We need volume

[tex]\\ \tt\hookrightarrow LBH[/tex]

  • L=length
  • B=width
  • H=height

[tex]\\ \tt\hookrightarrow V=28(14)(5)[/tex]

[tex]\\ \tt\hookrightarrow V=1960ft^3[/tex]

  • Rate of output=140ft

Total time

[tex]\\ \tt\hookrightarrow \dfrac{1960}{140}=14h[/tex]

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.

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