document.write( "Question 202142: A tank can be filled by one inlet pipe in 15 minutes . it takes an outlet pipe 75 minutes to drain the tank. if the outlet pipe is left open by accident, how long would it take to fill the tank ? \n" ); document.write( "
Algebra.Com's Answer #152402 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! Let x=amount of time it takes to fill the tank when both pipes are working \n" ); document.write( "Then the tank fills at the rate of 1/x tank per min with both pipes working\r \n" ); document.write( "\n" ); document.write( "The tank fills at the rate of 1/15 tank per min with the inlet pipe \n" ); document.write( "The tank empties at the rate of 1/75 tank per min with the outlet pipe \n" ); document.write( "So, our equation to solve is: \n" ); document.write( "1/15 - 1/75=1/x or \n" ); document.write( "5/75 - 1/75=1/x \n" ); document.write( "4/75=1/x \n" ); document.write( "4x=75 \n" ); document.write( "x=18.75 min\r \n" ); document.write( "\n" ); document.write( "CK \n" ); document.write( "(4/75)*18.75=75/75=1 (1 tank, that is)\r \n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( " |