document.write( "Question 248643: The current in a stream moves at a speed of 3mph. A boat travels 45mi upstream and 45 mi 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 #181194 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! D=RT OT T=D/R \n" ); document.write( "8=45*2/R \n" ); document.write( "8=45/(R+3)+45/(R-3) \n" ); document.write( "8=(45R-135+45R+135)/(R+3)(R-3) \n" ); document.write( "8=(90R)/(R^2-9) \n" ); document.write( "8(R^2-9)=90R \n" ); document.write( "8R^2-72-90R=0 \n" ); document.write( "8R^2-90R-72=0 \n" ); document.write( "(2R-24)(4+3)=0 \n" ); document.write( "2R-24=0 \n" ); document.write( "2R=24 \n" ); document.write( "R=12 MPH. IS THE SPEED OF THE BOAT. \n" ); document.write( "PROOF: \n" ); document.write( "8=45/(12+3)+45/(12-3) \n" ); document.write( "8=45/15+45/9 \n" ); document.write( "8=3+5 \n" ); document.write( "8=8\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |