document.write( "Question 807432: Manuel has a boat that can move at a speed of 15 km/h in still water. He rides 140 km downstream in a river in the same time it takes to ride 35 km upstream. What is the speed of the river? \n" ); document.write( "
Algebra.Com's Answer #486298 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Boat speed = 15 km/h \n" ); document.write( "current speed = x km/h \n" ); document.write( " \n" ); document.write( "speed against current 15 - x \n" ); document.write( "speed with current 15 + x \n" ); document.write( " \n" ); document.write( "Distance against current 35 miles \n" ); document.write( "Distance with current 140 miles \n" ); document.write( " \n" ); document.write( "t=d/r time against = time with current - \n" ); document.write( "35 / ( 15 - x )= 140 / ( 15 + x ) \n" ); document.write( "35 ( 15 + x )= 140 ( 15 -x ) \n" ); document.write( "525 + 35 x = 2100 - -140 x \n" ); document.write( "140 x 35 x 2100 + -525 \n" ); document.write( "175 x = 1575 \n" ); document.write( "/ 175 \n" ); document.write( "x = 9 km/h current speed \n" ); document.write( " \n" ); document.write( " |