MATH SOLVE

4 months ago

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