document.write( "Question 1182486: A twin engine pontoon boat can cross the river in 18 hours when both engines are operating. It takes 27 hours longer for the boat to cross the river using only engine one than it does when using only engine two. How long would it take each engine working alone to power the boat so it can cross the river? Use lowercase variable t for time and write a quadratic equation to model this problem. \n" ); document.write( "
Algebra.Com's Answer #812547 by mananth(16946)\"\" \"About 
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A twin engine pontoon boat can cross the river in 18 hours when both engines are operating.
\n" ); document.write( "it crosses 1/18 of the river in 1 hour\r
\n" ); document.write( "\n" ); document.write( "let engine one take x hours to cross
\n" ); document.write( "so it crosses 1/x of the river in 1 hour\r
\n" ); document.write( "\n" ); document.write( "Engine 1 takes 27 hours more (x+27)\r
\n" ); document.write( "\n" ); document.write( "it crosses 1/(x+27) of the river in 1 hour\r
\n" ); document.write( "\n" ); document.write( "1/x + 1/(x+27) = 1/18\r
\n" ); document.write( "\n" ); document.write( "multiply equation by x(x+27)*18\r
\n" ); document.write( "\n" ); document.write( "18(x+27) +18x = x(x+27)\r
\n" ); document.write( "\n" ); document.write( "18x+486 +18x = x^2 + 27x\r
\n" ); document.write( "\n" ); document.write( "x^2-9x -486=0\r
\n" ); document.write( "\n" ); document.write( "(x-27)(x+18)=0\r
\n" ); document.write( "\n" ); document.write( "x= 27 hours engine 1\r
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