document.write( "Question 624440: A small swimming pool can be filled with water by 2 pipes in 3 hours. If the larger pipe alone takes 8 hours less than the smaller pipe to fill the pool find the time in which it will be filled by each pipe operating singly. \n" ); document.write( "
Algebra.Com's Answer #392750 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi,
\n" ); document.write( "A small swimming pool can be filled with water by 2 pipes in 3 hours.
\n" ); document.write( "If the larger pipe alone takes 8 hours less than the smaller pipe hrs\"highlight%28x%29\"to fill the pool
\n" ); document.write( "find the time in which it will be filled by each pipe operating singly
\n" ); document.write( "Question states***PER hr Key
\n" ); document.write( "\"+1%2Fx+%2B+1%2F%28x-8%29+=+1%2F3\" |Multiplying thru by 3x(x-8) so as all denominators = 1
\n" ); document.write( " 3(x-8) + 3x = x(x-8)
\n" ); document.write( " 3x - 24 + 3x = x^2 - 8x
\n" ); document.write( " x^2 -14x + 24 = 0
\n" ); document.write( " (x - 12)(x - 2) = 0
\n" ); document.write( " x = 12hr (throwing out illogical solution x = 2)
\n" ); document.write( " Smaller Pipe takes 12hr and the larger Pipe 4hrs to fill the pool by itself \n" ); document.write( "
\n" );