document.write( "Question 213173: A boy can row a boat at a constant rate of 3mi/hr in still water. He rows up-stream for 20 minutes and then rows down-stream, returning to his starting point in another 15 minutes. Find the total distance traveled. \n" ); document.write( "
Algebra.Com's Answer #161147 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A boy can row a boat at a constant rate of 3mi/hr in still water. He rows up-stream for 20 minutes and then rows down-stream, returning to his starting point in another 15 minutes. Find the total distance traveled. \n" ); document.write( "------------------------------------ \n" ); document.write( "Upstream DATA: \n" ); document.write( "time = 1/5 hr ; rate = 3+c ; distance = rt = (1/5)(3+c) miles \n" ); document.write( "------------------------------------ \n" ); document.write( "Downstream DATA: \n" ); document.write( "time = 1/4 hr ; rate = 3-c ; distance = rt = (1/4)(3-c) miles \n" ); document.write( "------------------------------------ \n" ); document.write( "Equation: \n" ); document.write( "Up distance = Down distance \n" ); document.write( "(1/5)(3+c) = (1/4)(3-c) \n" ); document.write( "Multiply both sides by 20 to get: \n" ); document.write( "4(3+c) = 5(3-c) \n" ); document.write( "12+4c = 15-5c \n" ); document.write( "9c = 3 \n" ); document.write( "c = 1/3 mph (speed of the current \n" ); document.write( "========================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |