document.write( "Question 1169512: A tank containing 50 litres of water develops a leak and loses water at a constant rate. After 20 minute it contains 40 litres. After a further 30 minutes the tank is 5% of its full capacity. Determine the tank's capacity. \n" ); document.write( "
Algebra.Com's Answer #794284 by Theo(13342)![]() ![]() You can put this solution on YOUR website! at 0 minutes, the tank contains 50 liters. \n" ); document.write( "at 20 minutes, the tank contains 40 liters. \n" ); document.write( "at 50 minutes, the tank is 5% full.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if the tank is losing water at a constant rate, then it is losing the same amount of water each minute.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since it went from 50 liters to 40 liters in 20 minutes, it was losing 10 liters in 20 minutes.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "losing 10 liters in 20 minutes at a constant rate means it is losing .5 liters per minute because 10 liters / 20 minutes = .5 liters per minute.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in another 30 minutes, at the constant rate of .5 liters per minute, it would lose an additional 15 liters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the level would then be at 40 - 15 = 25 liters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "25 liters is 5% of the capacity of the tank, so the tank's capacity would have to be 25/.05 = 500 liters.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |