document.write( "Question 509037: The speed of a boat in still water is 4 miles per hour. If the boat travels 5 miles downstream in the same amount of time it takes to travel 2.5 miles upstream, what is the speed of the current? \n" ); document.write( "
Algebra.Com's Answer #341238 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Boat speed = 4 mph \n" ); document.write( "current speed = x mph \n" ); document.write( "wind speed \n" ); document.write( "speed against current 4 - x \n" ); document.write( "speed with current 4 + x \n" ); document.write( " \n" ); document.write( "Distance against current 2.5 m \n" ); document.write( "Distance with current 5 m \n" ); document.write( " \n" ); document.write( "t=d/r time against = time with \n" ); document.write( "2.5/(4-x)=5/(4+x) \n" ); document.write( "2.5(4+x)=5(4-x) \n" ); document.write( "10+2.5x =20-5x \n" ); document.write( "5x+2.5x =10 \n" ); document.write( "7.5x=10 \n" ); document.write( "/ 7.5 \n" ); document.write( "x =1.33 mph current speed \n" ); document.write( " \n" ); document.write( " |