document.write( "Question 383941: Together two pipes can fill a vat in 9 hours 36 minuters,if the longer pipe takes 8 hours less than the smaller pipe does how long does it take the smaller pipe to fill the vat? \n" ); document.write( "
Algebra.Com's Answer #271942 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Together two pipes can fill a vat in 9 hours 36 minutes,
\n" ); document.write( "if the longer pipe takes 8 hours less than the smaller pipe.
\n" ); document.write( "how long does it take the smaller pipe to fill the vat?
\n" ); document.write( ":
\n" ); document.write( "Let x = time required by smaller pipe
\n" ); document.write( "then
\n" ); document.write( "(x-8) = time required by the larger
\n" ); document.write( ":
\n" ); document.write( "let the completed job = 1; (a full vat)
\n" ); document.write( "Change 9 hr 36 min to 9.6 hrs
\n" ); document.write( ":
\n" ); document.write( "\"9.6%2Fx\" + \"9.6%2F%28%28x-8%29%29\" = 1
\n" ); document.write( "Multiply by x(x-8), results:
\n" ); document.write( "9.6(x-8) + 9.6x = x(x-8)
\n" ); document.write( ":
\n" ); document.write( "9.6x - 76.8 + 9.6x = x^2 - 8x
\n" ); document.write( "19.2x - 76.8 = x^2 - 8x
\n" ); document.write( "combine like terms on the right
\n" ); document.write( "0 = x^2 - 8x - 19.2x + 76.8
\n" ); document.write( "A quadratic equation
\n" ); document.write( "x^2 - 27.2x + 76.8 = 0
\n" ); document.write( "Solve this using the quadratic formula
\n" ); document.write( "Two solution but only one is reasonable
\n" ); document.write( ":
\n" ); document.write( "x = 24 hrs is the time required by the smaller pipe
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this
\n" ); document.write( "9.6/16 + 9.6/24 =
\n" ); document.write( ".6 + .4 = 1 \n" ); document.write( "
\n" );