SOLUTION: A sewage treatment plant has two inlet pipes to its settling pond. One can fill the pond in 10 hr, the other in 12 hr. If the first pipe is open for 5 hr and then the second pipe

Question 100266This question is from textbook College Algebra and Trigonometry
: A sewage treatment plant has two inlet pipes to its settling pond. One can fill the pond in 10 hr, the other in 12 hr. If the first pipe is open for 5 hr and then the second pipe is opened, how long will it take to fill the pond? This question is from textbook College Algebra and Trigonometry

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A sewage treatment plant has two inlet pipes to its settling pond. One can fill the pond in 10 hr, the other in 12 hr. If the first pipe is open for 5 hr and then the second pipe is opened, how long will it take to fill the pond?
-----------------
1st pipe DATA:
Time to fill = 10 hr/job ; Rate = 1/10 job/hr
-----------------
2nd pipe DATA:
Time to fill = 12 hr/job ; Rate = 1/12 job/hr
----------------
EQUATION:(since half of the pond has already been filled)
Let x = time for the two pipe together to fill half the pond
x(1/10 + 1/12) = 1/2
x(22/120)= 1/2
x(11/60) = 1/2
x(11/30) = 1
x = 30/11 = 2 hrs (8/11) hr
(8/11)*60 = 43.6 minutes
Total time for the two pipes to fill half the pond = 2 hrs 43.6 minutes
===================
Cheers,
Stan H.

RELATED QUESTIONS
filling a settling pond a sewage treatment plant has two inlet pipes to its setting pond. (answered by addingup)

A sewage treatment plant has two inlet pipes to its settling pond. One pipe can fill the (answered by jorel1380)

A sewage treatment plant has two inlet pipes to its settling pond. One can fill the pond... (answered by venugopalramana)

A sewage treatment plant has two inlet pipes to its settling pond. One can fill the... (answered by stanbon)

A seweage treatment plant has two inlet pipes to its settling pond. One can fill the pond (answered by stanbon)

A pond has two inlet pipes to fill a pond up.One pipe can fill the pond in 10 hours.The... (answered by TimothyLamb,ptaylor)

A sludge pool is filled by two inlet pipes. One pipe can fill the pool in 15 days, and... (answered by josgarithmetic)

Solve and verify your answer. A sludge pool is filled by two inlet pipes. One pipe can (answered by ankor@dixie-net.com)

An oil tank has two inlet pipes and one outlet pipe. One inlet pipe can fill the tank in... (answered by nerdybill)