document.write( "Question 971768: bobs boat travels at 12 mph in still water. find the speed of the current if he go 4 miles upstream in the same time that it takes to go 8 miles downstream. write an equation that could be used to model this problem. let c represent the speed (in mph) of the current stream. \n" ); document.write( "
Algebra.Com's Answer #594160 by macston(5194)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "12mph+c=speed downstream, 12mph-c=speed upstream \n" ); document.write( ". \n" ); document.write( "4miles/(12mph-c)=8miles/(12mph+c) Cross-multiply. \n" ); document.write( "96 mi^2/hr-8c miles=48mi^2/hr+4c miles Subtract 48mi^2/hr from each side \n" ); document.write( "48mi^2/hr-8c miles=4c miles Add 8c miles to each side. \n" ); document.write( "48mi^2/hr=12c miles Divide each side by 12 miles. \n" ); document.write( "4 mi/hr=c \n" ); document.write( "ANSWER: The rate of the current was 4 miles per hour. \n" ); document.write( " \n" ); document.write( " |