document.write( "Question 916972: a tank fitted with two pipes is to be filled with water. One pipe can fill it in 15 hours. After it has been open for 3 hours, the second pipe is opened and the tank is filled in 4 hours more. How long would it take the second pipe alone to fill the tank \n" ); document.write( "
Algebra.Com's Answer #556441 by mananth(16946)![]() ![]() You can put this solution on YOUR website! a tank fitted with two pipes is to be filled with water. One pipe can fill it in 15 hours. After it has been open for 3 hours, the second pipe is opened and the tank is filled in 4 hours more. How long would it take the second pipe alone to fill the tank\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " One pipe can fill it in 15 hours.\r \n" ); document.write( "\n" ); document.write( "it does 1/15 of the job in 1 hour\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " After it has been open for 3 hours, \n" ); document.write( "In 3 hours it does 3/15 of the job\r \n" ); document.write( "\n" ); document.write( "Balance job = 1-3/15\r \n" ); document.write( "\n" ); document.write( "=12/15 of the job\r \n" ); document.write( "\n" ); document.write( " the second pipe is opened and the tank is filled in 4 hours more.\r \n" ); document.write( "\n" ); document.write( "12/15 of the job they do in 4 hours\r \n" ); document.write( "\n" ); document.write( "1 job they do in 4/(12/15)\r \n" ); document.write( "\n" ); document.write( "=5 hours\r \n" ); document.write( "\n" ); document.write( "let second pipe take x hours to fill the tank \n" ); document.write( "it does 1/x of the job in 1 hour \n" ); document.write( "First pipe does 1/15 of the job in 1 hour\r \n" ); document.write( "\n" ); document.write( "together they do 1/5 of the job in 1 hour\r \n" ); document.write( "\n" ); document.write( "1/15 +1/x = 1/5\r \n" ); document.write( "\n" ); document.write( "1/5 -1/15 =1/x\r \n" ); document.write( "\n" ); document.write( "2/15 = 1/x\r \n" ); document.write( "\n" ); document.write( "x= 15/2 \n" ); document.write( "=7.5 hours\r \n" ); document.write( "\n" ); document.write( " the second pipe alone to fill the tank will take 7.5 hours \n" ); document.write( " |