document.write( "Question 1099571: A tap can fill a tank in 6 mins and another can fill the same tank in 8 mins .How long will it take to fill the tank if the two taps were opened at the same time? \n" ); document.write( "
Algebra.Com's Answer #713993 by Theo(13342)![]() ![]() You can put this solution on YOUR website! rate * time = quantity\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "first tap fills the tank in 6 minutes. \n" ); document.write( "rate for the first tap is 1/6 of the tank in 1 minute.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "second tap fills the tank in 8 minutes. \n" ); document.write( "rate for the second tap is 1/8 of the tank in 1 minute.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when they are both open, their rates are additive.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1/6 + 1/8 = 4/24 + 3/24 = 7/24\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "their combined rate is 7/24 of the tap in 1 minute when they are both open.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "rate * time = quantity.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "rate is 7/24 of the tank in 1 minute. \n" ); document.write( "time is what you want to find \n" ); document.write( "quantity is 1 full tank\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "formula becomes 7/24 * time = 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for time to get time = 1 * 24/7 = 24/7 minutes = 3 and 3/7 minutes.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |