document.write( "Question 1110733: A motorboat takes 3 hours to travel 108mi going upstream. The return trip takes 2 hours going downstream. What is the rate of the boat in still water and what is the rate of the current? \n" ); document.write( "
Algebra.Com's Answer #725745 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A motorboat takes 3 hours to travel 108mi going upstream. The return trip takes 2 hours going downstream. What is the rate of the boat in still water and what is the rate of the current? \n" ); document.write( "----------------------- \n" ); document.write( "Upstream DATA: \n" ); document.write( "rate = 108 mi/3 hrs = 36 mph \n" ); document.write( "downstream DATA: \n" ); document.write( "rate = 108/2 = 54 mph \n" ); document.write( "------- \n" ); document.write( "Equations: \n" ); document.write( "b - c = 36 mph \n" ); document.write( "b + c = 54 mph \n" ); document.write( "--------------------- \n" ); document.write( "2b = 90 \n" ); document.write( "boat speed = 45 mph \n" ); document.write( "--------------- \n" ); document.write( "Solve for \"c\": \n" ); document.write( "b + c = 54 \n" ); document.write( "45 + c = 54 \n" ); document.write( "current = 9 mph \n" ); document.write( "--------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |