document.write( "Question 161431: A river has a current of 4mph. Find the speed of Simon's boat in still water if it goes 40 miles downstream in the same time as 24 miles upstream. \n" ); document.write( "
Algebra.Com's Answer #118941 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! D=RT \n" ); document.write( "40=(X+4)T OR T=40/(X+4) \n" ); document.write( "24=(X-4)T OR T=24/(X-4) \n" ); document.write( "40/(X+4)=24/(X-4) CROSS MULTIPLY. \n" ); document.write( "40(X-4)=24(X+4) \n" ); document.write( "40X-160=24X+96 \n" ); document.write( "40X-24X=96+160 \n" ); document.write( "16X=256 \n" ); document.write( "X=256/16 \n" ); document.write( "X=16 MPH IS THE SPEED OF THE BOAT. \n" ); document.write( "PROOF: \n" ); document.write( "40/(16+4)=24/(16-4) \n" ); document.write( "40/20=24/12 \n" ); document.write( "2=2\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |