Respuesta :
Answer:
An inlet pipe on a swimming pool can be used to fill the pool in 33 hours. Time it will take to fill the pool = 748 hrs
Solution:
Let x = time it will take to fill the pool
[tex]\frac{1}{33}[/tex] = work rate of inlet pipe
[tex]\frac{1}{34}[/tex] = work rate of drain pipe
Using the formulae
Volume of flow=work rate [tex]\times[/tex] time
Let us assume complete time of pool to fill = 1
Remaining fraction of pool to be filled = [tex]1-\frac{1}{3}=\frac{2}{3}[/tex]
[tex]\begin{array}{l}{\frac{1}{33} x-\frac{1}{34} x=\frac{2}{3}} \\\\ {\frac{x}{33}-\frac{x}{34}=\frac{2}{3}}\end{array}[/tex]
[tex]\frac{34 x-33 x}{33 \times 34}=\frac{2}{3}[/tex]
[tex]34 x-33 x=\frac{2 \times 34 \times 33}{3}[/tex]
[tex]\begin{array}{l}{x=\frac{2244}{3}} \\\\ {x=\frac{3168}{3}} \\\\ {x=748}\end{array}[/tex]
Time it will take to fill the pool = 748 hrs
