document.write( "Question 816215: A boat can travel 12 miles upstream in the same amount of time it takes to travel 18 miles downstream. If the current in the river is 3 miles per hour, find the speed of the boat in still water. \n" ); document.write( "
Algebra.Com's Answer #491412 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A boat can travel 12 miles upstream in the same amount of time it takes to travel 18 miles downstream. If the current in the river is 3 miles per hour, find the speed of the boat in still water. \n" ); document.write( "------- \n" ); document.write( "Upstream DATA: \n" ); document.write( "distance = 12 miles ; rate = b-3 mph ; time = 12/(b-3) hrs. \n" ); document.write( "---------------- \n" ); document.write( "Downstream DATA: \n" ); document.write( "distance = 18 miles ; rate = b+3 mph ; time = 18/(b+3) hrs. \n" ); document.write( "------------------ \n" ); document.write( "Equation:: \n" ); document.write( "time up = time down \n" ); document.write( "12/(b-3) = 18/(b+3) \n" ); document.write( "12b+36 = 18b-54 \n" ); document.write( "------ \n" ); document.write( "6b = 90 \n" ); document.write( "b = 15 mph (speed of the boat in still water) \n" ); document.write( "--------- \n" ); document.write( "Cheers \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |