document.write( "Question 999207: A powerboat takes 30 minutes to travel 10 miles downstream. The return trip takes 50 minutes. What is the speed of the current? \n" ); document.write( "
Algebra.Com's Answer #616887 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A powerboat takes 30 minutes to travel 10 miles downstream. The return trip takes 50 minutes. What is the speed of the current? \n" ); document.write( "------ \n" ); document.write( "---- \n" ); document.write( "Downstream DATA: \n" ); document.write( "time = (1/2) hr ; distance = 10 miles ; rate = d/r = 20 mph \n" ); document.write( "------ \n" ); document.write( "Upstream DATA: \n" ); document.write( "time = (5/6) hr ; distance = 10 miles ; rate = 10/(5/6) = 12 mph \n" ); document.write( "-------- \n" ); document.write( "Equations: \n" ); document.write( "b + c = 20 mph \n" ); document.write( "b - c = 12 mph \n" ); document.write( "------------------------- \n" ); document.write( "2b = 32 \n" ); document.write( "b = 16 (Speed of the boat in still water) \n" ); document.write( "c = 4 mph (speed of the current) \n" ); document.write( "--------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |