SOLUTION: a chinese restaurant has a fish pondThe inlet pipe and hose can fill the pond in 6 hours, togetherThe inlet pipe alone can do the job in one hour less than the hose alone find the
Question 308255: a chinese restaurant has a fish pondThe inlet pipe and hose can fill the pond in 6 hours, togetherThe inlet pipe alone can do the job in one hour less than the hose alone find the time the pipe can fill the pond alone and the hose can fill the pond alone? Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! a chinese restaurant has a fish pondThe inlet pipe and hose can fill the pond in 6 hours, togetherThe inlet pipe alone can do the job in one hour less than the hose alone find the time the pipe can fill the pond alone and the hose can fill the pond alone?
let the hose do the job of filling in x hours
the inlet pipe does in x-1 hours
.
The hose will do 1/x of the job in 1 hour
Theinlet pipe will do the job in 1/x-1 hour
.
They both will do 1/x + 1/x-1 of the job in 1 hour
Add the two fractions. LCM = x(x-1)
.
x-1+x / x(x-1)
2x-1/x^2-x of the job they do in 1 hour
For completing the job they will take x^2-x / 2x-1 hours
x^2-x / 2x-1 = 6
x^2-x = 6(2x-1)
x^2-x = 12x-6
x^2-13x+5=0
find the roots x1,x2
x1= 13 + sqrt(169-20)/2
x1=12.6 hours
.
x2= 13 - sqrt(169-20)/2
x2= 0.39 hours ( this is not possible )
The hose takes 12.6 hours to do the job alone
The inlet pipe takes 11.6 hours to do the job alone
