document.write( "Question 353675: A boat traveled 208 miles downstream and back. The trip downstream took 8 hours. The trip back took 26 hours. What is the speed of the boat in still water? What is the speed of the current? \n" ); document.write( "
Algebra.Com's Answer #252800 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A boat traveled 208 miles downstream and back. The trip downstream took 8 hours. The trip back took 26 hours. \n" ); document.write( "------------------------ \n" ); document.write( "Downstream DATA: \n" ); document.write( "time = 8 hrs ; distance = 208 miles ; rate = 208/8 = 26 mph \n" ); document.write( "------ \n" ); document.write( "Upstream DATA: \n" ); document.write( "time = 26 hrs ; distance = 208 mils ; rate = 208/26 = 8 mph \n" ); document.write( "-------\r \n" ); document.write( "\n" ); document.write( "What is the speed of the boat in still water? \n" ); document.write( "What is the speed of the current? \n" ); document.write( "------ \n" ); document.write( "Equations: \n" ); document.write( "Downstream Rate: b + c = 26 \n" ); document.write( "Upstream Rate::: b - c = 8 \n" ); document.write( "---------------------------------- \n" ); document.write( "Add to get: \n" ); document.write( "2b = 34 \n" ); document.write( "b = 17 mph (speed of the boat in still water) \n" ); document.write( "Since b+c = 26, c = 9 mph (speed of the current) \n" ); document.write( "----------------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |