document.write( "Question 975138: Here is my question:\r
\n" ); document.write( "\n" ); document.write( "A boat travels 12km upstream and back in 3 hours. If the speed of the current is 3 km/h throughout, make an equation and find the speed of the boat in still water.\r
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Algebra.Com's Answer #596946 by josgarithmetic(39799)\"\" \"About 
You can put this solution on YOUR website!
r, boat if no current
\n" ); document.write( "c, current
\n" ); document.write( "d, distance each way
\n" ); document.write( "t, total time up and back\r
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\n" ); document.write( "\n" ); document.write( "RT=D basic uniform rates travel relationship\r
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\n" ); document.write( "\n" ); document.write( "__________________speed__________time__________distance
\n" ); document.write( "UP________________r-c____________d/(r-c)___________d
\n" ); document.write( "BK________________r+c____________d/(r+c)___________d
\n" ); document.write( "Total____________________________t____________2d\r
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\n" ); document.write( "\n" ); document.write( "UNKNOWN VARIABLES: r
\n" ); document.write( "KNOWN: c, t, d.\r
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\n" ); document.write( "\n" ); document.write( "\"highlight_green%28d%2F%28r-c%29%2Bd%2F%28r%2Bc%29=t%29\", and you want to solve for r.\r
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\n" ); document.write( "\n" ); document.write( "\"d%28r%2Bc%29%2Bd%28r-c%29=t%28r-c%29%28r%2Bc%29\"
\n" ); document.write( "\"dr%2Bcd%2Bdr-dc=t%28r%5E2-c%5E2%29\"
\n" ); document.write( "\"2dr=tr%5E2-tc%5E2\"
\n" ); document.write( "\"tr%5E2-2dr-tc%5E2=0\"
\n" ); document.write( "You might expect that as an academic exercise, that the trinomial may be factorable, but staying completely in symbols,\r
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\n" ); document.write( "\n" ); document.write( "\"r=%282d%2B-+sqrt%284d%5E2%2B4t%2Atc%5E2%29%29%2F%282t%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"r=%282d%2B-+2sqrt%28d%5E2%2Bt%5E2c%5E2%29%29%2F%282t%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"highlight%28r=%28d%2B-+sqrt%28d%5E2%2B%28tc%29%5E2%29%29%2Ft%29\"
\n" ); document.write( "You would want the PLUS form. Substitute the given values for d, t, c, and evaluate r.
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