document.write( "Question 209211: Julie and Eric row their boat (at a constant speed) 45 miles downstream for 5 hours, helped by the current. Rowing at the same rate, the trip back against the current takes 9 hours. Find the rate of the current. \n" ); document.write( "
Algebra.Com's Answer #158156 by MathTherapy(10551)![]() ![]() You can put this solution on YOUR website! Julie and Eric row their boat (at a constant speed) 45 miles downstream for 5 hours, helped by the current. Rowing at the same rate, the trip back against the current takes 9 hours. Find the rate of the current.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The speed that they travelled at, downstream, with the current = 9 mph (45/5) \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The speed that they travelled at, upstream, against the current = 5 mph (45/9) \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let the rate of the current be C\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then we'll have: Downstream speed - current = Upstream speed + current, or,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "9 - C = 5 + C\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "- 2C = - 4\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, the speed of the current is: \n" ); document.write( " \n" ); document.write( " |