Answered

Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Discover comprehensive answers to your questions from knowledgeable professionals on our user-friendly platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

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.

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.