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)\"\" \"About 
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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
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