SOLUTION: It takes 12 hours to fill a swimming pool using two pipes. If the pipe of larger diameter is used for 4 hours and the pipe with smaller diameter for 9 hours, only half the tank is

Question 453419: It takes 12 hours to fill a swimming pool using two pipes. If the pipe of larger diameter is used for 4 hours and the pipe with smaller diameter for 9 hours, only half the tank is filled. How long would it take for each pipe to fill the pool separately ?
Please help !!!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
It takes 12 hours to fill a swimming pool using two pipes. If the pipe of larger diameter is used for 4 hours and the pipe with smaller diameter for 9 hours, only half the tank is filled. How long would it take for each pipe to fill the pool separately ?
--------------
Let larger pipe rate be x hrs/job
Let smaller pipe rate be y hrs/job
-----
Equations:
x + y = 1/12
4x+9y = 1/2
---------------------
Modify to get:
24x + 24y = 2
24x + 54y = 3
-----
Subtract and solve for "y":
30y = 1
y = 1/30 job/hr (rate of the smaller diameter pipe)
Smaller pipe would take 30 hrs to fill the pool.
----
Solve for "x"
x + (1/30) = 1/12
x = (1/12)-(1/30)
x = (18/(12*30)) = 1/20 job/hr
Larger pipe would take 20 hrs to fill the pool.
=====
Cheers,
Stan H.

RELATED QUESTIONS
If it takes 24hours to fill a swimming pool using two pipes. If the pipe of larger... (answered by greenestamps)

it takes 12 hours to fill a swimming pool using two pipes . if the pipe of larger... (answered by richwmiller)

IT CAN TAKE 12 HOURS TO FILL A SWIMMING POOL USING 2 PIPES.IF THE PIPE OF LARGER DIAMETER (answered by ankor@dixie-net.com)

Three water pipes are used to fill a swimming pool. The first pipe alone takes 4 hours to (answered by lwsshak3)

Two pipes can be used to fill a pool. Working together the two pipes can fill the pool... (answered by ankor@dixie-net.com)

How do i set up the problem: To fill a pool with two pipes (one large cold water pipe, (answered by ewatrrr)

Two pipes can be used to fill a pool. Working together, the two pipes can fill the pool... (answered by stanbon)

Two pipes can be used to fill a pool. Working together, the two pipes can fill... (answered by josgarithmetic,mananth)

suppose that two pipes (A and B) can be used to fill a swimming pool. If both pipes are... (answered by mananth)