document.write( "Question 889050: Ina Crespo rowed 7.5 miles down the Habashabee River in 1.5 hours, but the return trip took 2.5 hours. Find the rate Ina rows in still water and the rate of the current. Let x represent the rate Ina can row in still water and let y represent the rate of the current. \n" ); document.write( "
Algebra.Com's Answer #537867 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Ina Crespo rowed 7.5 miles down the Habashabee River in 1.5 hours, but the return trip took 2.5 hours. Find the rate Ina rows in still water and the rate of the current. Let x represent the rate Ina can row in still water and let y represent the rate of the current. \n" ); document.write( "*** \n" ); document.write( "let x=rate of rowboat in still water \n" ); document.write( "let y=rate of current \n" ); document.write( "x+y=rate of rowboat downstream \n" ); document.write( "x-y=rate of rowboat upstream \n" ); document.write( "distance/rate=travel time \n" ); document.write( ".. \n" ); document.write( "7.5/(x+y)=1.5 \n" ); document.write( "7.5/(x-y)=2.5 \n" ); document.write( ".. \n" ); document.write( "1.5x+1.5y=7.5 \n" ); document.write( "2.5x-2.5y=7.5 \n" ); document.write( "..\r \n" ); document.write( "\n" ); document.write( "7.5x+7.5x=37.5 (mult. by 5) \n" ); document.write( "7.5x-7.5x=22.5 (mult. by 3) \n" ); document.write( "add \n" ); document.write( "15x=60 \n" ); document.write( "x=4 \n" ); document.write( "1.5y=7.5-1.5x=7.5-6=1.5 \n" ); document.write( "y=1 \n" ); document.write( "rate of rowboat in still water=4 mph \n" ); document.write( "rate of current=1 mph \n" ); document.write( " |