document.write( "Question 370569: One pipe can fill a storage tank in five hours less time than a smaller second pipe can, and together they can fill it in six hours. How long would it take the larger pipe to fill it? \n" ); document.write( "
Algebra.Com's Answer #264122 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let second pipe take x hours to fill \n" ); document.write( "it will do 1/x of the job in 1 hour. \n" ); document.write( ".. \n" ); document.write( "First pipe takes 5 hour less than second pipe. \n" ); document.write( "x-5 hours \n" ); document.write( ".. \n" ); document.write( "it can do 1/(x-5) of the job in 1hour. \n" ); document.write( "... Together they do the job in 6 hours.. \n" ); document.write( "together they do 1/6 of the job in hour. \n" ); document.write( "... \n" ); document.write( "1/x + 1/(x-5 ) = 1/6 \n" ); document.write( ".. \n" ); document.write( "LCD = x(x-5) \n" ); document.write( "(x-5+x)/(x(x-5))=1/6 \n" ); document.write( "(2x-5)/x(x-5) = 1/6 \n" ); document.write( "6(2x-5)=x(x-5) \n" ); document.write( "12x-30=x^2-5x \n" ); document.write( "x^2-5x-12x+30=0 \n" ); document.write( "x^2-17x+30=0\r \n" ); document.write( "\n" ); document.write( "x^2-15x-2x+30=0 \n" ); document.write( "x(x-15)-2(x-15)=0 \n" ); document.write( "(x-15)(x-2)=0 \n" ); document.write( "x= 2 OR 15 hours \n" ); document.write( "... \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |