document.write( "Question 876525: A boat that travels 10mph in still water takes 1 hour longer to travel 24 miles against the current than it does to paddle the same distance with the current . Find the speed of the current \n" ); document.write( "
Algebra.Com's Answer #528840 by mananth(16946)\"\" \"About 
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Boat speed = 10 mph
\n" ); document.write( "current speed = x mph
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\n" ); document.write( "speed against current 10 - x
\n" ); document.write( "speed with current 10 + x
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\n" ); document.write( "Distance against current 24 miles
\n" ); document.write( "Distance with current 24 miles
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\n" ); document.write( "t=d/r time against = time with current -
\n" ); document.write( "24 / ( 10 - x )- 24 / ( 10 + x )=1\r
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\n" ); document.write( "\n" ); document.write( "24(10+x)-24(10-x)=100-x^2\r
\n" ); document.write( "\n" ); document.write( "240+24x-240+24x=100-x^2\r
\n" ); document.write( "\n" ); document.write( "x^2+48x-100=0\r
\n" ); document.write( "\n" ); document.write( "x^2+50x-2x-100=0\r
\n" ); document.write( "\n" ); document.write( "x(x+50)-2(x+50)=0\r
\n" ); document.write( "\n" ); document.write( "(x+50)(x-2)=0\r
\n" ); document.write( "\n" ); document.write( "x= 2 OR -50\r
\n" ); document.write( "\n" ); document.write( "ignore negative\r
\n" ); document.write( "\n" ); document.write( "speed of current = 2mph
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