document.write( "Question 1029990: A container 80cm/60cm/70cm needs to be filled up completely with water. Tube A supplies 24l of water per minute and Tube B supplies 18l of water per minute. Mr Tan fills up the container by taking turns to use both Tubes for 17minutes. How long does he use each of the Tubes? \n" ); document.write( "
Algebra.Com's Answer #644929 by mananth(16946) You can put this solution on YOUR website! Let tube A be open for x minutes\r \n" ); document.write( "\n" ); document.write( "Tube B for y minutes\r \n" ); document.write( "\n" ); document.write( "x+y=17........................(1)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "The capacity of tank is 336 liters (70x60x80)/1000\r \n" ); document.write( "\n" ); document.write( "Pipe B will fill the tank in 336/24=14 minutes\r \n" ); document.write( "\n" ); document.write( "Pipe A will fill the tank in 336/18=18.66 minutes \n" ); document.write( "18.66x+14y=336...............................(2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x= Time open for A \n" ); document.write( "y= Time open for B \n" ); document.write( " \n" ); document.write( "1 x + 1 y = 17 .............1 \n" ); document.write( "Tank filling by both tubes \n" ); document.write( "19 x + 24 y = 336 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by -24 \n" ); document.write( "Multiply (2) by 1 \n" ); document.write( "-24 x -24 y = -408 \n" ); document.write( "19 x + 24 y = 336 \n" ); document.write( "Add the two equations \n" ); document.write( "-5 x = -72 \n" ); document.write( "/ -5 \n" ); document.write( "x = 13 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "1 x + 1 y = 17 \n" ); document.write( "13 + y = 17 \n" ); document.write( " y = 17 -13.48 \n" ); document.write( " y = 4 \n" ); document.write( " y = 4 \n" ); document.write( "x= 13 Time open for A \n" ); document.write( "y= 4 Time open for B \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |