document.write( "Question 732255:
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document.write( "On a certain river, a paddleboat travels 24 miles upstream (against the current) in the same amount of time it travels 40 miles down stream (with the current. If the current of the river is 4 miles per hour, determine the speed of the boat in still water. \n" );
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Algebra.Com's Answer #447718 by checkley79(3341)![]() ![]() ![]() You can put this solution on YOUR website! D=RT \n" ); document.write( "24=(R-4)T OR T=24/(R-4) \n" ); document.write( "40=(R+4)T OR T=40/(R+4) \n" ); document.write( "SET THESE TWO EQUATIONS EQUAL; \n" ); document.write( "24/(R-4)=40/(R+4) CROSS MULTIPLY. \n" ); document.write( "40(R-4)=24(R+4) \n" ); document.write( "40R-160=24R+96 \n" ); document.write( "40R-24R=96+160 \n" ); document.write( "16R=256 \n" ); document.write( "R=256/16 \n" ); document.write( "R=16 MPH. IS THE SPEED OF THE BOAT IN STILL WATER. \n" ); document.write( "PROOF: \n" ); document.write( "24/(16-4)=40/(16+4) \n" ); document.write( "24/12=40/20 \n" ); document.write( "2=2 \n" ); document.write( " |