document.write( "Question 1130878: One hose can fill a goldfish pond and 91 minutes, and two hoses confer the same pond in 42 minutes. Find how long it takes a second hose alone to fill the pond \n" ); document.write( "
Algebra.Com's Answer #747498 by addingup(3677)![]() ![]() You can put this solution on YOUR website! One hose: 1/91 \n" ); document.write( "Second hose: We don't know, call it x: 1/x \n" ); document.write( "Both hoses: 1/42 \n" ); document.write( "So now we have: \n" ); document.write( "1/91 + 1/x = 1/42 \n" ); document.write( "(x + 91)/(91 * x) = 1/42 \n" ); document.write( "42(x + 91) = 91x \n" ); document.write( "42x + 42 * 91x \n" ); document.write( "42x + 3822 = 91x \n" ); document.write( "42x + 3822 - 91x = 0 \n" ); document.write( "-49x + 3822 = 0 \n" ); document.write( "-49x = -3822 \n" ); document.write( "x = 78 \n" ); document.write( "It takes the 2nd hose alone 78 minutes to fill the pond \n" ); document.write( " |