ary Egan needs to drain his 21 comma 000-gallon inground swimming pool to have it resurfaced. He uses two pumps to drain the po

Question

3 years ago

8

ary Egan needs to drain his 21 comma 000-gallon inground swimming pool to have it resurfaced. He uses two pumps to drain the po

ol. One drains 15 gallons of water a minute while the other drains 20 gallons of water a minute. If the pumps are turned on at the same time and remain on until the pool is drained, how long will it take for the pool to be drained?

Mathematics

1 answer:

Troyanec [42] · Answer 1 · 2022-03-04T21:27:33+03:00

Troyanec [42]3 years ago

4 0

Answer:

600 minutes = 10 hours

Step-by-step explanation:

Egan has to drain 21 000 ga of water out of the pool. Let the number of minutes it takes him to drain the pool be x minutes. The equation for determining x can be set up and solved as follows:

$\frac{15 ga}{min}*xmin+\frac{20ga}{min}*xmin = 21000ga\\\\15x+20x=21000\\\\35x= 21000\\\\x = 600$

600 minutes = 10 hours

ary Egan needs to drain his 21 comma 000​-gallon inground swimming pool to have it resurfaced. He uses two pumps to drain the po

ary Egan needs to drain his 21 comma 000-gallon inground swimming pool to have it resurfaced. He uses two pumps to drain the po