document.write( "Question 90989: A mississippi riverboat can travel 30km downstream in 3 hours and make the return trip in 5 hours. Find the speed of the boat in still water. \n" ); document.write( "
Algebra.Com's Answer #66047 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A mississippi riverboat can travel 30km downstream in 3 hours and make the return trip in 5 hours. Find the speed of the boat in still water. \n" ); document.write( "------------ \n" ); document.write( "Downstream DATA: \n" ); document.write( "distance = 30 km ; time = 3 hrs ; rate = d/t = 10kph \n" ); document.write( "--------------- \n" ); document.write( "Upstream DATA: \n" ); document.write( "distance = 30 km ; time = 5 hrs ; rate = d/t = 6 kph \n" ); document.write( "---------------- \n" ); document.write( "let b be the speed of the riverboat in still water \n" ); document.write( "let c be the speed of the current \n" ); document.write( "------------------------ \n" ); document.write( "EQUATION: \n" ); document.write( "b+c=10 kph \n" ); document.write( "b-c=6 kph \n" ); document.write( "------------- \n" ); document.write( "Add to get: \n" ); document.write( "2b = 16 kph \n" ); document.write( "b = 8 kph (this is the speed of the riverboat in still water) \n" ); document.write( "--------------- \n" ); document.write( "Substitute to solve for current speed: \n" ); document.write( "8+c=10 \n" ); document.write( "c=2 kph (this is the speed of the current) \n" ); document.write( "================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |