document.write( "Question 463626: a boat can go 66 miles downstream and 54 miles upstream in the same amount of time. Find the rate of the boat in still water if the current is moving 2 mph. rate of boat=r rate of current =x \n" ); document.write( "
Algebra.Com's Answer #317604 by graphmatics(170) You can put this solution on YOUR website! Distance divided by rate equals time. Going down stream the rate is r+2 so for going down stream the time is\r \n" ); document.write( "\n" ); document.write( "66/(r+2) \n" ); document.write( "For going up stream the rate is r-2 so the time for going up stream is \n" ); document.write( "54/(r-2)\r \n" ); document.write( "\n" ); document.write( "The times are equal so \n" ); document.write( "66/(r+2) = 59/(r-2) \n" ); document.write( "Multiply this equation by (r+2)(r-2)\r \n" ); document.write( "\n" ); document.write( "(r+2)(r-2)(66/(r+2)) = (r+2)(r-2)(59/(r-2)) \n" ); document.write( "(r-2)66 = (r+2)59 \n" ); document.write( "66r - 132 = 59r - 118 \n" ); document.write( "66r - 59r = 132 - 118 \n" ); document.write( "7r = 14 \n" ); document.write( "r = 14/7 \n" ); document.write( "r = 2 \n" ); document.write( " |