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You can put this solution on YOUR website!
A cistern can be filled by two pipes.
\n" ); document.write( " The small pipe alone will take 24 minutes longer than larger pipe to fill cistern alone.
\n" ); document.write( "the small pipe will take 32 minutes longer to fill cistern alone than when two pipes are operating together.
\n" ); document.write( "How long will it take larger pipe to fill the cistern alone?
\n" ); document.write( ":
\n" ); document.write( "let x = time for the larger pipe to fill the cistern alone
\n" ); document.write( "then
\n" ); document.write( "(x+24) = time for the small pipe alone
\n" ); document.write( ":
\n" ); document.write( "\"the small pipe will take 32 minutes longer to fill cistern alone than when two pipes are operating together.\"
\n" ); document.write( "therefore
\n" ); document.write( "(x+24)-32 = (x-8) = time required when working together
\n" ); document.write( "let the completed job = 1 (a full cistern)
\n" ); document.write( "
\n" ); document.write( "multiply x(x+24), cancel the denominators
\n" ); document.write( "(x+24)(x-8) + x(x-8) = x(x+24)
\n" ); document.write( "x^2 - 8x + 24x - 192 + x^2 - 8x = x^2 + 24x
\n" ); document.write( "combine like terms on the left
\n" ); document.write( "x^2 + x^2 - x^2 - 8x - 8x + 24x - 24x - 192 = 0
\n" ); document.write( "x^2 - 16x - 192 = 0
\n" ); document.write( "You can use the quadratic formula; a=1; b=-16; c=-192 but this will factor
\n" ); document.write( "(x-24)(x+8) = 0
\n" ); document.write( "The positive solution
\n" ); document.write( "x = 24 min the large pipe alone to fill the cistern
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this. together 16 min; small pipe 48 min
\n" ); document.write( "