SOLUTION: the flow rate for one pipe is 7 times that of another pipe. A swimming pool can be filled in 21 hours using both pipes. Find the time required to fill the pool using only the pipe

Question 310089: the flow rate for one pipe is 7 times that of another pipe. A swimming pool can be filled in 21 hours using both pipes. Find the time required to fill the pool using only the pipe with the lower flow rate

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
the flow rate for one pipe is 7 times that of another pipe.
A swimming pool can be filled in 21 hours using both pipes.
Find the time required to fill the pool using only the pipe with the lower flow rate
:
Let x = time to fill the pool using smaller pipe (lower flow rate)
then
x = time to fill the pool using the larger pipe
:
Let the completed job = 1; (a full pool)
:
+ = 1
:
invert the dividing fraction and mult
+ = 1
:
+ = 1
Multiply by x
147 + 21 = x
168 = x
Smaller pipe requires 168 hrs to fill the pool
;
:
Check this solution
Larger pipe: 168/7 = 24 hrs by itself
then
+ =
.875 + .125 = 1
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