document.write( "Question 732593: if one water pipe fills a swimming pool in x h. A second pipe takes 3h longer . The two pipes together fill the pool in 2h. How long will it take each pipe to fill the swimming pool separately? \n" ); document.write( "
Algebra.Com's Answer #447949 by josmiceli(19441)\"\" \"About 
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The rate of filling for 1st pipe is:
\n" ); document.write( "( 1 pool filled / x hrs )
\n" ); document.write( "The rate of filling for 2nd pipe is:
\n" ); document.write( "( 1 pool filled / x + 3 hrs )
\n" ); document.write( "Add their rates of filling to get the
\n" ); document.write( "rate with both pipes open
\n" ); document.write( "\"+1%2Fx+%2B+1%2F%28+x%2B3+%29+=+1%2F2+\"
\n" ); document.write( "Multiply both sides by \"+2%2Ax%2A%28+x%2B3+%29+\"
\n" ); document.write( "\"+2%2A%28+x%2B3+%29+%2B+2x+=+x%2A%28+x%2B3+%29+\"
\n" ); document.write( "\"+2x+%2B+6+%2B+2x++=+x%5E2+%2B+3x+\"
\n" ); document.write( "\"+4x+%2B+6+=+x%5E2+%2B+3x+\"
\n" ); document.write( "\"+x%5E2+-+x+-+6+=+0+\"
\n" ); document.write( "Use quadratic formula
\n" ); document.write( "\"+x+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"
\n" ); document.write( "\"+a+=+1+\"
\n" ); document.write( "\"+b+=+-1+\"
\n" ); document.write( "\"+c+=+-6+\"
\n" ); document.write( "\"+x+=+%28-%28-1%29+%2B-+sqrt%28+%28-1%29%5E2+-+4%2A1%2A%28-6%29+%29%29+%2F+%282%2A1%29+\"
\n" ); document.write( "\"+x+=+%28+1+%2B-+sqrt%28+1+%2B+24%29%29+%2F+2+\"
\n" ); document.write( "\"+x+=+%28+1+%2B-+sqrt%28+25%29%29+%2F+2+\"
\n" ); document.write( "\"+x+=+%28+1+%2B+5+%29+%2F+2+\" ( can't use negative sqrt )
\n" ); document.write( "\"+x+=+3+\"
\n" ); document.write( "\"+x+%2B+3+=+6+\"
\n" ); document.write( "The 1st pipe will take 3 hrs to fill pool
\n" ); document.write( "The 2nd pipe will take 6 hrs to fill pool
\n" ); document.write( "check:
\n" ); document.write( "\"+1%2Fx+%2B+1%2F%28+x%2B3+%29+=+1%2F2+\"
\n" ); document.write( "\"+1%2F3+%2B+1%2F%28+3%2B3+%29+=+1%2F2+\"
\n" ); document.write( "\"+1%2F3+%2B+1%2F6+=+1%2F2+\"
\n" ); document.write( "\"+2%2F6+%2B+1%2F6+=+3%2F6+\"
\n" ); document.write( "\"+3%2F6+=+3%2F6+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" ); document.write( "
\n" );