document.write( "Question 171089: the current in a stream moves at a speed of 10 mph. A boat travels 29 miles upstreamand 29 miles downstream in a total time of 8 hours. What is the speed of the boat in still water \n" ); document.write( "
Algebra.Com's Answer #126295 by checkley77(12844) ![]() You can put this solution on YOUR website! 29/(B-10)+29/(B+10)=8 \n" ); document.write( "(29(B+10)+29(B-10))/(B-10)(B+10)=8 \n" ); document.write( "29B+290+29B-290=8(B^2-100) \n" ); document.write( "58B=8B^2-800 \n" ); document.write( "8B^2-58B-800=0 \n" ); document.write( "USING THE QUADRATIC EQUATION: \n" ); document.write( "B=(58+-SQRT[-58^2-4*8*-800])/2*8 \n" ); document.write( "B=(58+-SQRT[3,364+25,600])/16 \n" ); document.write( "B=(58+-SQRT28,964)/16 \n" ); document.write( "B=(58+-170.18813)/16 \n" ); document.write( "B=(58+170.18813)/16 \n" ); document.write( "B=228.18813/16 \n" ); document.write( "B=14.261758 mph IS THE SPEED OF THE BOAT. \n" ); document.write( "PROOF: \n" ); document.write( "29/(14.261758-10)+29/(14.261758+10)=8 \n" ); document.write( "29/4.261758+29/24.261758=8 \n" ); document.write( "6.805+1.195 \n" ); document.write( "8=8 \n" ); document.write( " \n" ); document.write( " |