document.write( "Question 954938: The speed of a stream is 6 mph. If a boat travels 90 miles downstream in the same time that it takes to travel 45 miles upstream, what is the speed of the boat in still water? \n" ); document.write( "
Algebra.Com's Answer #583303 by macston(5194)![]() ![]() You can put this solution on YOUR website! s=speed of boat in still water \n" ); document.write( "90mi/(s+6mph)=45mi/(s-6mph) Multiply each side by (s+6)(s-6) \n" ); document.write( "90mi(s-6mph)=45mi(s+6mph) \n" ); document.write( "90s-540=45s+270 Add 540 to each side. \n" ); document.write( "90s=45s+810 Subtract 45s from each side. \n" ); document.write( "45s=810 Divide each side by 45. \n" ); document.write( "s=18 ANSWER: The speed of the boat in still water is 18 mph \n" ); document.write( "CHECK: \n" ); document.write( "90mi/(18mph+6mph)=45 mi/(18mph-6mph) \n" ); document.write( "90 mi/24mph=45mi/12mph \n" ); document.write( "3.75 hours=3.75 mph \n" ); document.write( " |