SOLUTION: A Swimming pool can be filled 15 hrs if water enters through a pipe alone, or in 23 hours if water enters through a hose a lone. if water entering through both the pipe and the hos

Question 979547: A Swimming pool can be filled 15 hrs if water enters through a pipe alone, or in 23 hours if water enters through a hose a lone. if water entering through both the pipe and the hose, how long will it take to fill the pool 3/5 full?
x/15+x/23=3/5
(23x+15x)/23(15)=3/5
38x/345=3/5
im stuck here
Found 3 solutions by josgarithmetic, josmiceli, MathTherapy:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
DELIVERY______________RATE(pool's-worth per hour)
Pipe__________________1/15
Hose__________________1/23
Pipe&Hose___________1/15+1/23

Uniform Rates Rule for task, job, work:
RT=V, to relate rate, time, amount of volume or space, meaning here, amount of pool capacity. You can say V=1 for one whole pool.

You can focus on doing the fill for pool, and let x be the amount of time in hours to do the amount of job.

You want to calculate x for both openings being used at the same time.

A bit of arithmetic; solve for x.

You seem to have the correct equation. YOU FORGOT TO MULTIPLY BOTH SIDES BY THE LOWEST COMMON DENOMINATOR.
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Add the rates of filling
Rate for pipe:
[ 1 pool ] / [ 15 hrs ]
Rate for hose:
[ 1 pool ] / [ 23 hrs ]
---------------------
Let = time to fill pool full

Multiply both sides by

The pool will be 3/5 full in 5.447 hrs
check:

OK
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

A Swimming pool can be filled 15 hrs if water enters through a pipe alone, or in 23 hours if water enters through a hose a lone. if water entering through both the pipe and the hose, how long will it take to fill the pool 3/5 full?
x/15+x/23=3/5
(23x+15x)/23(15)=3/5
38x/345=3/5
im stuck here

You're right on track!!
Just cross-multiply to get: 190x = 1,035
You should be able to complete this now!!
RELATED QUESTIONS
A swimming pool can be filled in 15 hours if water enters through a pipe alone, or in 23... (answered by josgarithmetic)
A swimming pool can be filled in 15 hours if water enters through a pipe alone, or in 23... (answered by stanbon)
A swimming pool can be filled in 15 hours if water enters through a pipe alone. 23 hours... (answered by kevwill)
a swimming pool can be filled in 16 hours if water enters through a pipe alone, or in 23... (answered by josgarithmetic)
A swimming pool can be filled in 18 hours if water enters through a pipe alone, or (answered by josgarithmetic)
A swimming pool can be filled in 15 hours if water enters through a pipe alone, or in 22... (answered by Alan3354)
a swimming pool can be filled in 15 hours if water enters through a pipe alone, or in 22... (answered by lwsshak3)
A swimming pool can be filled in 15 hours if water enters through a pipe alone, or in... (answered by josgarithmetic)
A swimming pool can be filled in 12 hours if water enters through a pipe alone, or in 28... (answered by solver91311,ankor@dixie-net.com)