document.write( "Question 278501: A swimming pool can be filled in 12 hours if water enters through a pipe alone, or in 28 hours if water enters through a hose alone. If the water is entering through both the pipe and the hose, how long will it take to fill this pool? \n" ); document.write( "
Algebra.Com's Answer #202655 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A swimming pool can be filled in 12 hours if water enters through a pipe alone, \n" ); document.write( " or in 28 hours if water enters through a hose alone. \n" ); document.write( " If the water is entering through both the pipe and the hose, \n" ); document.write( " how long will it take to fill this pool? \n" ); document.write( ": \n" ); document.write( "Let t = time required when both are used \n" ); document.write( ": \n" ); document.write( "Let the completed job (a full pool) = 1 \n" ); document.write( ": \n" ); document.write( "A typical mixture equation \n" ); document.write( " \n" ); document.write( "Multiply equation by 84 to clear the denominators, results \n" ); document.write( "7t + 3t = 84 \n" ); document.write( "t = \n" ); document.write( "t = 8.4 hrs working together \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check solution \n" ); document.write( " \n" ); document.write( ".7 + .3 = 1 \n" ); document.write( " |