document.write( "Question 956484: A boat makes a trip downstream in 3 hours. it makes the upstream trip in the same current in 4 hours. the speed of the boat in still water would've been 11.2 per hours. what is the speed of the current? \n" ); document.write( "
Algebra.Com's Answer #584343 by macston(5194) You can put this solution on YOUR website! If the given speed of the boat in still water is 11.2 miles/hour: \n" ); document.write( "r=rate of current \n" ); document.write( "3hrs(11.2mph+r)=4hrs(11.2mph-r) \n" ); document.write( "33.6miles+3r hrs=44.8 miles-4r hrs Subtract 33.6 miles from each side. \n" ); document.write( "3r hrs=11.2 miles-4r hrs Add 4r hrs to each side \n" ); document.write( "7r hrs=11.2 miles Divide each side by 7 hrs \n" ); document.write( "r=11.2/7 mph=1.6 mph ANSWER The rate of the current was 1.6 mph. \n" ); document.write( "CHECK: \n" ); document.write( "3hrs(11.2mph+r)=4hrs(11.2mph-r) \n" ); document.write( "3hrs(11.2mph+1.6mph)=4hrs(11.2mph-1.6mph) \n" ); document.write( "3hrs(12.8mph)=4hrs(9.6mph) \n" ); document.write( "38.4miles=38.4miles \n" ); document.write( " |