document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207797>Question 1207797</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A tank is filled with 360 liters of water. A hole at the bottom of the tank allows the water to drain at a constant rate of 0.2 liters per second. How many minutes will it take to completely empty the tank? </SPAN>\n" );
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document.write( "Answer:  <font color=red>30 minutes</font>\r<BR>\n" );
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document.write( "Explanation\r<BR>\n" );
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document.write( "x = number of seconds that elapse\r<BR>\n" );
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document.write( "The tank starts off completely full at 360 liters.<BR>\n" );
document.write( "The drain rate is a constant 0.2 liters per second.<BR>\n" );
document.write( "After x seconds elapse, the tank loses 0.2x liters of water.<BR>\n" );
document.write( "There are 360-0.2x liters remaining.\r<BR>\n" );
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document.write( "The tank is empty when 0 liters remain.<BR>\n" );
document.write( "We'll set the previous expression equal to 0 to solve for x.\r<BR>\n" );
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document.write( "360-0.2x = 0<BR>\n" );
document.write( "360 = 0.2x<BR>\n" );
document.write( "x = 360/0.2<BR>\n" );
document.write( "x = 1800<BR>\n" );
document.write( "It takes 1800 seconds for the tank to completely empty.\r<BR>\n" );
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document.write( "Divide by 60 to convert from seconds to minutes.<BR>\n" );
document.write( "1800 seconds = 1800/60 = <font color=red>30 minutes</font> is the final answer.\r<BR>\n" );
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document.write( "Side note:<BR>\n" );
document.write( "I'm not too familiar with physics so I could be wrong, but I have a feeling that the water won't drain at a constant rate in reality.<BR>\n" );
document.write( "I have a feeling it's more of a case of \"more water --> faster drain rate\" since gravity is pulling on more mass and hence more of a downward force is applied.<BR>\n" );
document.write( "Regardless of this, it's probably best to stick to the assumption of a constant rate since the textbook stated as such. We're in a theoretical framework anyway.<BR>\n" );
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