document.write( "Question 1160536: A motorboat can maintain a constant speed of 18 miles per hour relative to the water. The boat makes a trip upstream to a certain point in 44 minutes; the return trip takes 28 minutes. What is the speed of the current? \n" ); document.write( "
Algebra.Com's Answer #783846 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! current speed=c \n" ); document.write( "upstream speed is 18-c mph \n" ); document.write( "and in 44 minutes, the boat goes (44/60)(18-c) miles \n" ); document.write( "downstream it goes 18+c mph and in 28 minutes goes (28/60)(18+c) miles \n" ); document.write( "Those are equal \n" ); document.write( "the 60s cancel out \n" ); document.write( "so 44(18-c)=28(18+c) \n" ); document.write( "792-44c=504+28c \n" ); document.write( "288=72c \n" ); document.write( "c=4 mph\r \n" ); document.write( "\n" ); document.write( "upstream 14 mph net and goes 14*44/60 miles or 10.267 miles \n" ); document.write( "downstream 22 mph and goes 22*28/60 miles or 10.267 miles \n" ); document.write( " |