document.write( "Question 214842: There are two small valves in the bottom of a tub filled with water. If opened, one valve will empty the tub in three hours; the other will empty it in six hours. If both valves are opened at the same time, how long will it take to empty the tub? \n" ); document.write( "
Algebra.Com's Answer #162304 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! There are two small valves in the bottom of a tub filled with water. If opened, one valve will empty the tub in three hours; the other will empty it in six hours. If both valves are opened at the same time, how long will it take to empty the tub? \n" ); document.write( "------------------ \n" ); document.write( "The small one empties 1/6 of the tub per hour. \n" ); document.write( "The other one 1/3 per hour. \n" ); document.write( "Add them \n" ); document.write( "1/6 + 1/3 = 3/6 = 1/2 tub per hour. \n" ); document.write( "--> 2 hours. \n" ); document.write( "--------- \n" ); document.write( "A shortcut: product/sum \n" ); document.write( "3*6/(3+6) = 18/9 \n" ); document.write( "= 2 hours \n" ); document.write( " |