Respuesta :
Answer:
4.44 hours
Step-by-step explanation:
One pump can fill a swimming pool in 8 hours.
In 1 hour pump can fill the pool = [tex]\frac{1}{8}[/tex]
another pump can fill the swimming pool in 10 hours.
in 1 hour another pump can fill the pool = [tex]\frac{1}{10}[/tex]
Let the total time will it take together to fill the pool = x
[tex]\frac{1}{8}[/tex] + [tex]\frac{1}{10}[/tex] = [tex]\frac{1}{x}[/tex]
[tex]\frac{5+4}{40}[/tex] = [tex]\frac{1}{x}[/tex]
[tex]\frac{9}{40}[/tex] = [tex]\frac{1}{x}[/tex]
9x = 40
x = [tex]\frac{40}{9}[/tex]
x = 4.44 hours
It will take 4.44 hours to fill the pool if both pumps are open.
