document.write( "Question 294619: The speed of the current in a river is 2 mph. Jay travels 20 miles upstream and 2o miles downstream in 5 1/3 hours. What is the speed of the boat? \n" ); document.write( "
Algebra.Com's Answer #212512 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! D=RT \n" ); document.write( "20=(R+2)T \n" ); document.write( "T=20/(R+2) FOR THE TRIP DOWNSTREAM. \n" ); document.write( "D=RT \n" ); document.write( "20=(R-2)T \n" ); document.write( "T=20/(R-2) FOR THE TRIP UPSTREAM. \n" ); document.write( "ADD THE TWO TIMES. \n" ); document.write( "20/(R+2)+20/(R-2)=5 1/3 \n" ); document.write( "[20(R+2)+20(R-2)]/(R+2)(R-2)=16/3 \n" ); document.write( "[20R+40+20R-40]/(R^2-4)=16/3 CROSS MULTIPLY. \n" ); document.write( "16(R^2-4)=3(40R) \n" ); document.write( "16R^2-64=120R \n" ); document.write( "16R^2-12OR-64=0 \n" ); document.write( "8(2R^2-15R-8)=0 \n" ); document.write( "8(2R+1)(R-8)=0 \n" ); document.write( "R-8=0 \n" ); document.write( "R=8 MPH IS THE BOAT SPEED IN STILL WATER. \n" ); document.write( "PROOF: \n" ); document.write( "20/(8+2)+20/(8-2)=16/3 \n" ); document.write( "20/10+20/6=16/3 \n" ); document.write( "2+10/316/3 \n" ); document.write( "6/3+10/3=16/3 \n" ); document.write( "16/3=16/3 \n" ); document.write( " |