document.write( "Question 614000: A boat travels 120 km downstream in 4 hours and takes 6 hours to return. How long will it take in still water? \n" ); document.write( "
Algebra.Com's Answer #386479 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! A boat travels 120 km downstream in 4 hours and takes 6 hours to return. \n" ); document.write( "How long will it take in still water? \n" ); document.write( ": \n" ); document.write( "Let s = boat speed in still water \n" ); document.write( "Let c = rate of the current \n" ); document.write( ": \n" ); document.write( "Write a distance equation; dist = speed * time, for each scenario> \n" ); document.write( ": \n" ); document.write( "4(s + c) = 120 \n" ); document.write( "6(s - c) = 120 \n" ); document.write( "; \n" ); document.write( "simplify, divide the 1st equation by 4, divide the 2nd equation by 6: \n" ); document.write( "s + c = 30 \n" ); document.write( "s - c = 20 \n" ); document.write( "------------adding eliminates c, find s \n" ); document.write( "2s = 50 \n" ); document.write( "s = 50/2 \n" ); document.write( "s = 25 km/h, speed in still water \n" ); document.write( ": \n" ); document.write( "You can find the rate of the current and check in both equations \n" ); document.write( " \n" ); document.write( " |