document.write( "Question 996067: a canoeist travels 4 miles downstream in 1 hour. the return trip takes 1.5 hours.Write the equations to solve the problem. what's the rate of the boat in still water \n" ); document.write( "
Algebra.Com's Answer #614691 by josgarithmetic(39617)\"\" \"About 
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A traveler travels \"d\" miles downstream in \"t%5Bd%5D\" hour. the return trip takes \"t%5Bu%5D\" hours.Write the equations to solve the problem. what's the rate of the boat in still water?\r
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document.write( "Let c be the rate of the current; r is the rate for the boat if no current.\r\n" );
document.write( "The use of the subscripts are d for DOWNSTREAM and u for UPSTREAM.\r\n" );
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document.write( "             speed       time       distance\r\n" );
document.write( "TO           r+c        \"t%5Bd%5D\"        d\r\n" );
document.write( "FROM         r-c        \"t%5Bu%5D\"        d\r\n" );
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document.write( "Note that the unknown variables in the problem description are r and c.\r\n" );
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\n" ); document.write( "\"system%28%28r%2Bc%29%2At%5Bd%5D=d%2C%28r-c%29%2At%5Bu%5D=d%29\", the starting system of equations.\r
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\n" ); document.write( "\n" ); document.write( "\"r%2At%5Bd%5D%2Bc%2At%5Bd%5D=d\"
\n" ); document.write( "\"c%2At%5Bd%5D=d-r%2At%5Bd%5D\"
\n" ); document.write( "\"c=%28d-rt%5Bd%5D%29%2Ft%5Bd%5D\"\r
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\n" ); document.write( "\n" ); document.write( "\"rt%5Bu%5D-ct%5Bu%5D=d\"
\n" ); document.write( "\"rt%5Bu%5D-%28%28d-rt%5Bd%5D%29%2Ft%5Bd%5D%29t%5Bu%5D=d\"
\n" ); document.write( "\"rt%5Bu%5D%2At%5Bd%5D-%28d-rt%5Bd%5D%29t%5Bu%5D=d%2At%5Bd%5D\"
\n" ); document.write( "\"rt%5Bu%5D%2At%5Bd%5D-d%2At%5Bu%5D%2Brt%5Bd%5Dt%5Bu%5D=d%2At%5Bd%5D\"
\n" ); document.write( "\"rt%5Bu%5Dt%5Bd%5D%2Brt%5Bd%5Dt%5Bu%5D-dt%5Bu%5D=dt%5Bd%5D\"
\n" ); document.write( "\"rt%5Bu%5Dt%5Bd%5D%2Brt%5Bu%5Dt%5Bd%5D=dt%5Bd%5D%2Bdt%5Bu%5D\"
\n" ); document.write( "\"r%282t%5Bu%5Dt%5Bd%5D%29=dt%5Bd%5D%2Bdt%5Bu%5D\"
\n" ); document.write( "\"highlight%28r=%28dt%5Bd%5D%2Bdt%5Bu%5D%29%2F%282t%5Bu%5Dt%5Bd%5D%29%29\"------answer in symbolic form.
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