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)\"\" \"About 
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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( "
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