Q:

One hose can fill a goldfish pond in 36 ​minutes, and two hoses can fill the same pond in 20 minutes. Find how long it takes the second hose alone to fill the pond.

Accepted Solution

A:
Answer:45 minutesStep-by-step explanation:It is given that one hose can fill a goldfish pond in 36 minuteSo the the first hose can fill goldfish pond [tex]\frac{1}{36}[/tex] per minuteWhen both fill together then they fill in 20 minutes So the the both  hose can fill goldfish pond [tex]\frac{1}{20}[/tex] per minuteLet Goldfish pond filled by second hose  [tex]\frac{1}{x}[/tex] per minuteso [tex]\frac{1}{36}+\frac{1}{x}=\frac{1}{20}[/tex][tex]\frac{1}{x}=\frac{1}{20}-\frac{1}{36}[/tex]x=45 minutes