document.write( "Question 544511: A motorboat can travel 20 mph in still water. If the boat can travel 3 miles downstream in the same time it takes to travel 2 miles upstream, what is the rate of the current?
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Algebra.Com's Answer #355115 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Boat speed = 20 mph \n" ); document.write( "current speed = x mph \n" ); document.write( " \n" ); document.write( "speed against current 20 - x \n" ); document.write( "speed with current 20 + x \n" ); document.write( " \n" ); document.write( "Distance against current 2 miles \n" ); document.write( "Distance with current 3 miles \n" ); document.write( " \n" ); document.write( "t=d/r time against = time with current \n" ); document.write( "2/(20-x )=3/(20 +x) \n" ); document.write( "2(20+x )= 3( 20-x ) \n" ); document.write( "40+2x = 60-3x \n" ); document.write( "3x +2x=20 \n" ); document.write( "5x=20 \n" ); document.write( "/5 \n" ); document.write( "x = 4 mph current speed \n" ); document.write( " \n" ); document.write( " |