document.write( "Question 640951: Pratap Puri rowed 18 miles down the Delaware River in 2 hours, but the return trip took him 4 1/2 hours. Find the rate Pratap can row in still water, and find the rate of the current. let x = rate Pratap can row in still water and y = rate of the current. \n" ); document.write( "
Algebra.Com's Answer #403493 by lwsshak3(11628) ![]() You can put this solution on YOUR website! Pratap Puri rowed 18 miles down the Delaware River in 2 hours, but the return trip took him 4 1/2 hours. Find the rate Pratap can row in still water, and find the rate of the current. let x = rate Pratap can row in still water and y = rate of the current. \n" ); document.write( "** \n" ); document.write( "x+y=speed downriver \n" ); document.write( "x-y=speed return trip \n" ); document.write( "travel time=distance/speed \n" ); document.write( ".. \n" ); document.write( "18/(x+y)=2 \n" ); document.write( "18/(x-y)=4.5 \n" ); document.write( ".. \n" ); document.write( "2x+2y=18 \n" ); document.write( "4.5x-4.5y=18 \n" ); document.write( ".. \n" ); document.write( "multiply 1st equation by 2.25 \n" ); document.write( "4.5x+4.5y=40.5 \n" ); document.write( "4.5x-4.5y=18 \n" ); document.write( "add \n" ); document.write( "9x=58.5 \n" ); document.write( "x=58.5/9=6.5 \n" ); document.write( "y=(18-2x)/2=2.5 \n" ); document.write( "rate Pratap can row in still water=6.5 mph \n" ); document.write( "rate of the current=2.5 mph \n" ); document.write( " |