document.write( "Question 419037: The speed of a boat in still water is 5 miles per hour. If the boat travels 3 miles downstream in the same amount of time it takes to travel 1.5 miles upstream, what is the speed of the current? \n" ); document.write( "
Algebra.Com's Answer #293140 by mananth(16946)![]() ![]() You can put this solution on YOUR website! boat speed = 5 mph \n" ); document.write( "current speed = x mph \n" ); document.write( " \n" ); document.write( "Speed upstream= 5 - x \n" ); document.write( "Speed downstream= 5 + x \n" ); document.write( " \n" ); document.write( "Distance upstream= 1.5 miles \n" ); document.write( "Distance downstream= 3 miles \n" ); document.write( " \n" ); document.write( "t=d/r time upstream = time downstream \n" ); document.write( "1.5 / ( 5 - x )= 3 / ( 5 + x ) \n" ); document.write( "1.5 ( 5 + x )= 3 ( 5 -x ) \n" ); document.write( "7.5 + 1.5 x = 15 - 3 x \n" ); document.write( "3 x -1.5 x = 7.5 \n" ); document.write( "1.5 x = 7.5 \n" ); document.write( "/ 1.5 \n" ); document.write( "x = 5 mph boat speed \n" ); document.write( " \n" ); document.write( " |