document.write( "Question 1094128: A hose can fill a swimming pool in 12 hours. Another hose needs 6 more hours to fill the pool than the two hoses combined+How long would it take the second hose to fill the pool? \n" ); document.write( "
Algebra.Com's Answer #708727 by greenestamps(13200)\"\" \"About 
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Let x be the number of hours the second hose takes to fill the pool by itself. The fraction of the pool that the first hose fills in 1 hour is 1/12; the fraction the second fills in 1 hour is 1/x.

\n" ); document.write( "The fraction that the two hoses together fill in 1 hour is
\n" ); document.write( "\"1%2F12+%2B+1%2Fx+=+%2812%2Bx%29%2F12x\"

\n" ); document.write( "So the number of hours it takes the two hoses together to fill the pool is
\n" ); document.write( "\"12x%2F%2812%2Bx%29\"

\n" ); document.write( "The second hose alone needs 6 hours more than that to fill the pool by itself:
\n" ); document.write( "\"x+=+12x%2F%2812%2Bx%29+%2B+6\"
\n" ); document.write( "\"x-6+=+12x%2F%2812%2Bx%29\"
\n" ); document.write( "\"%28x-6%29%2812%2Bx%29+=+12x\"
\n" ); document.write( "\"x%5E2%2B6x-72+=+12x\"
\n" ); document.write( "\"x%5E2-6x-72+=+0\"
\n" ); document.write( "\"%28x-12%29%28x%2B6%29+=+0\"

\n" ); document.write( "The second hose takes 12 hours to fill the pool by itself.
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