document.write( "Question 843383: A girl rows 11 km downstream in 2 h. Her return trip takes 3 h. How fast can she row in still water. in km/h?
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Algebra.Com's Answer #508077 by josmiceli(19441)\"\" \"About 
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Let \"+s+\" = her speed in still water in km/hr
\n" ); document.write( "Let \"+c+\" = the speed of the current in km/hr
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\n" ); document.write( "Equation for rowing downstream:
\n" ); document.write( "(1) \"+11+=+%28+s+%2B+c+%29%2A2+\"
\n" ); document.write( "Equation for rowing upstream:
\n" ); document.write( "(2) \"+11+=+%28+s+-+c+%29%2A3+\"
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\n" ); document.write( "This is 2 equations and 2 unknowns
\n" ); document.write( "so it's solvable
\n" ); document.write( "(1) \"+11+=+2s+%2B+2c+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+11+=+3s+-+3c+\"
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\n" ); document.write( "Multiply both sides of (1) by \"3\" and
\n" ); document.write( "both sides of (2) by \"2\"
\n" ); document.write( "Then add the equations
\n" ); document.write( "(1) \"+6s+%2B+6c+=+33+\"
\n" ); document.write( "(2) \"+6s+-+6c+=+22+\"
\n" ); document.write( "\"+12s+=+55+\"
\n" ); document.write( "\"+s+=+4.5833+\"
\n" ); document.write( "She can row 4.5833 km/hr in still water
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+2s+%2B+2c+=+11+\"
\n" ); document.write( "(1) \"+2%2A%2855%2F12%29+%2B+2c+=+11+\"
\n" ); document.write( "(1) \"+55%2F6+%2B+2c+=+11+\"
\n" ); document.write( "(1) \"+2c+=+66%2F6+-+55%2F6+\"
\n" ); document.write( "(1) \"+2c+=+11%2F6+\"
\n" ); document.write( "(1) \"+c+=+11%2F12+\"
\n" ); document.write( "(1) \"+c+=+.9167+\"
\n" ); document.write( "---------------------
\n" ); document.write( "(2) \"+3s+-+3c+=+11+\"
\n" ); document.write( "(2) \"+3%2A%2855%2F12%29+-+3%2A%2811%2F12%29+=+11+\"
\n" ); document.write( "(2) \"+3%2A55+-+3%2A11+=+11%2A12+\"
\n" ); document.write( "(2) \"+3%2A5+-+3+=+12+\"
\n" ); document.write( "(2) \"+15+-+3+=+12+\"
\n" ); document.write( "(2) \"+12+=+12+\"
\n" ); document.write( "OK
\n" ); document.write( "(1) \"+2s+%2B+2c+=+11+\"
\n" ); document.write( "(1) \"+2%2A%2855%2F12%29+%2B+2%2A%2811%2F12%29+=+11+\"
\n" ); document.write( "(1) \"+2%2A55+%2B+2%2A11+=+11%2A12+\"
\n" ); document.write( "(1) \"+2%2A5+%2B+2+=+12+\"
\n" ); document.write( "(1) \"+10+%2B+2++=+12+\"
\n" ); document.write( "(1) \"+12+=+12+\"
\n" ); document.write( "OK\r
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