document.write( "Question 103672: a tank can be normally filled in hours. but after the tank developed a leak it took 12 hours to fill it. how long would it take the leak to empty a full tank? \n" ); document.write( "
Algebra.Com's Answer #75554 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! a tank can be normally filled in 10 hours. but after the tank developed a leak it took 12 hours to fill it. how long would it take the leak to empty a full tank? \n" ); document.write( ": \n" ); document.write( "Let t = time for the leak to empty the tank \n" ); document.write( ": \n" ); document.write( "Let the full tank = 1 \n" ); document.write( ": \n" ); document.write( "Positive is filling and negative is leaking \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "Multiply equation by 10x to get rid of the denominators \n" ); document.write( "10x( \n" ); document.write( ": \n" ); document.write( "12x - 10(12) = 10x \n" ); document.write( ": \n" ); document.write( "12x - 120 = 10x \n" ); document.write( ": \n" ); document.write( "12x - 10x = + 120 \n" ); document.write( ": \n" ); document.write( "2x = 120 \n" ); document.write( ": \n" ); document.write( "x = 120/2 \n" ); document.write( ": \n" ); document.write( "x = 60 hrs for leak to empty the full tank \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check our solution on a calc: \n" ); document.write( " \n" ); document.write( " 1.2 - .2 = 1 \n" ); document.write( ": \n" ); document.write( "Did this make sense to you?\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |