document.write( "Question 1130664: Use two equations in two variables to solve the application.\r
\n" ); document.write( "\n" ); document.write( "A boat can travel 24 miles downstream in 2 hours and can make the return trip in 4 hours. Find the speed of the boat in still water. \n" ); document.write( "

Algebra.Com's Answer #747273 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Let x be the boat speed in still water (in miles per hoyr).\r\n" );
document.write( "Let y be the speed of the current.\r\n" );
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document.write( "Then from the condition\r\n" );
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document.write( "x + y = 24/2 = 12,    (1)\r\n" );
document.write( "x - y = 24/4 =  6     (2)\r\n" );
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document.write( "To solve the system, add the equations. You will get\r\n" );
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document.write( "2x = 12 + 6 = 18  ====>  x = 18/2 = 9.\r\n" );
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document.write( "Answer.   The boat speed in still water is 9 mph.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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