document.write( "Question 251926: the speed of a stream is 5mph. if a boat travles 40 miles downstream in the same time it takes to travel 20 miles upstream, what is the speed of the boat in still water? \n" ); document.write( "
Algebra.Com's Answer #183636 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! D=RT \n" ); document.write( "40=(R+5)T OR T=40/(R+5) \n" ); document.write( "20=(R-5)T OR T=20/(R-5) \n" ); document.write( "BECAUSE THE TIMES ARE THE SAME SET THESE TWO EQUATION EQUAL. \n" ); document.write( "40/(R+5)=20/(R-5) \n" ); document.write( "CROSS MULTIPLY \n" ); document.write( "40(R-5)=20(R+5) \n" ); document.write( "40R-200=20R+100 \n" ); document.write( "40R-20R=100+200 \n" ); document.write( "20R=300 \n" ); document.write( "R=300/20 \n" ); document.write( "R=15 MPH FOR THE SPEED OF THE BOAT IN STILL WATER. \n" ); document.write( "PROOF: \n" ); document.write( "40/(15+5)=20/(15-5) \n" ); document.write( "40/20=20/10 \n" ); document.write( "2=2\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |