document.write( "Question 696737: A boat can travel with a speed of 15 km/hr in still water. it needs 4 more hours to travel 63km agains the current of a river than it needs to travel down the river find the speed of the river
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Algebra.Com's Answer #429274 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+t+\" = the boat's time in hrs to travel 63 km downstream
\n" ); document.write( "Let \"+c+\" = the speed of the current in km/hr
\n" ); document.write( "The boat's speed going downstream is \"+15+%2B+c+\"
\n" ); document.write( "The boat's speed going upstream is \"+15+-+c+\"
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\n" ); document.write( "given:
\n" ); document.write( "Equation for going upstream is
\n" ); document.write( "(1) \"+63+=+%28+15+-+c+%29%2A%28+t+%2B+4+%29+\"
\n" ); document.write( "Equation for going downstream is
\n" ); document.write( "(2) \"+63+=+%28+15+%2B+c+%29%2At+\"
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\n" ); document.write( "(1) \"+63+=+15t+-+c%2At+%2B+60+-+4c+\"
\n" ); document.write( "(1) \"+15t+-+c%2At+=+3+%2B+4c+\"
\n" ); document.write( "(1) \"+t%2A%28+15+-+c+%29+=+3+%2B+4c+\"
\n" ); document.write( "(1) \"+t+=+%28+3+%2B+4c+%29+%2F+%28+15+-+c+%29+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+63+=+%28+15+%2B+c+%29%2A%28+3+%2B+4c+%29+%2F+%28+15+-+c+%29++\"
\n" ); document.write( "(2) \"+63%2A%28+15+-+c+%29+=++%28+15+%2B+c+%29%2A%28+3+%2B+4c+%29+\"
\n" ); document.write( "(2) \"+945+-+63c+=+45+%2B+3c+%2B+60c+-+4c%5E2+\"
\n" ); document.write( "(2) \"+4c%5E2+-+126c+%2B+900+=+0+\"
\n" ); document.write( "(2) \"+2c%5E2+-+63c+%2B+450+=+0+\"
\n" ); document.write( "Use quadratic equation:
\n" ); document.write( "\"+c+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"+a+=+2+\"
\n" ); document.write( "\"+b+=+-63+\"
\n" ); document.write( "\"+c+=+450+\"
\n" ); document.write( "\"+c+=+%28-%28-63%29+%2B-+sqrt%28+%28-63%29%5E2-4%2A2%2A450+%29%29%2F%282%2A2%29+\"
\n" ); document.write( "\"+c+=+%28+63+%2B-+sqrt%28+3969+-+3600+%29%29%2F4+\"
\n" ); document.write( "\"+c+=+%28+63+%2B-+sqrt%28+369+%29%29%2F4+\"
\n" ); document.write( "\"+c+=+%28+63+%2B-+sqrt%28+369+%29%29%2F4+\"
\n" ); document.write( "You'll have to finish, but this is the basic idea
\n" ); document.write( "of how to solve. Then check the work.\r
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