document.write( "Question 1207433: In a laundry sink, the hot water tap lets out 3 litres of water every minute. The cold water tap lets out 4 litres of water every minute. If the sink is left unplugged, 2 litres of water are drained every minute. With the sink unplugged, I turn on the cold water tap. Three minutes later, I turn on the hot water tap as well. I leave both taps running for another 2 minutes before both taps are turned off. How long do I now have to wait before the sink is completely drained? \n" ); document.write( "
Algebra.Com's Answer #845289 by ikleyn(52795)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "In a laundry sink, the hot water tap lets out 3 litres of water every minute. \n" ); document.write( "The cold water tap lets out 4 litres of water every minute. \n" ); document.write( "If the sink is left unplugged, 2 litres of water are drained every minute. \n" ); document.write( "With the sink unplugged, I turn on the cold water tap. \n" ); document.write( "Three minutes later, I turn on the hot water tap as well. \n" ); document.write( "I leave both taps running for another 2 minutes before both taps are turned off. \n" ); document.write( "How long do I now have to wait before the sink is completely drained? \n" ); document.write( "~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Many words, but the idea of solution is simple - \r \n" ); document.write( "\n" ); document.write( " accurately count the balance of water.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "During first three minutes, the inflow is 4*3 liters = 12 liters (the cold water tap);\r\n" ); document.write( "\r\n" ); document.write( " the outflow is 2*3 liters = 6 liters (the sink);\r\n" ); document.write( "\r\n" ); document.write( " the net inflow is 12 - 6 = 6 liters.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "During next two minutes, the inflow is 4*2 + 3*2 = 14 liters (both the cold water tap and hot water tap;);\r\n" ); document.write( "\r\n" ); document.write( " the outflow is 2*2 = 4 liters (the sink);\r\n" ); document.write( "\r\n" ); document.write( " the net inflow is 14 - 4 = 10 liters.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "After 3+2 = 5 minutes both taps are turned off.\r\n" ); document.write( "\r\n" ); document.write( "Now only the sink is on. It drains 6+10 = 16 liters at the rate of 2 liters per minute.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "So, you need wait 16/2 = 8 minutes to get the sink completely drained.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Just boldly go forward and count everything in your path.\r \n" ); document.write( "\n" ); document.write( "There is no need for bright ideas.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You only need to know right words and use them properly in order for seem smart.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |