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

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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) About Me  (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 3%2F5 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.
highlight%28%281%2F15%2B1%2F23%29%2Ax=3%2F5%29
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) About Me  (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 +t+ = time to fill pool +3%2F5+ full
+1%2F15+%2B+1%2F23+=+%28%283%2F5%29%29%2Ft+
+1%2F15+%2B+1%2F23+=+3%2F%285t%29+
Multiply both sides by +15%2A23t+
+23t+%2B+15t+=+3%2A3%2A23+
+38t+=+207+
+t+=+5.447+
The pool will be 3/5 full in 5.447 hrs
check:
+1%2F15+%2B+1%2F23+=+%283%2F5%29%2Ft+
+.066667+%2B+.043478+=+.6%2Ft+
+.110145+=+.6%2Ft+
+t+=+.6%2F.110145+
+t+=+5.44735+
OK

Answer by MathTherapy(10552) About Me  (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!! 38x%2F345+=+3%2F5

Just cross-multiply to get: 190x = 1,035 

You should be able to complete this now!!