document.write( "Question 144580: The Hudson River flows at a rate of 3 miles per hour. A patrol boat travels 60 miles upriver, and returns in a total time of 9 hours. What is the speed of the boat in still water? \n" ); document.write( "
Algebra.Com's Answer #105353 by josmiceli(19441)\"\" \"About 
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Let \"s\"= speed of the boat in still water
\n" ); document.write( "The current = \"3\" mi/hr
\n" ); document.write( "In words:
\n" ); document.write( "(distance traveled upriver)/(rate going upriver)
\n" ); document.write( "+ (distance traveled downriver)/(rate going downriver) = 9 hrs
\n" ); document.write( "\"60+%2F+%28s+-+3%29+%2B+60+%2F+%28s+%2B+3%29+=+9\"
\n" ); document.write( "multiply both sides by \"%28s+-+3%29%28s+%2B+3%29\"
\n" ); document.write( "\"60%2A%28s+%2B+3%29+%2B+60%2A%28s+-+3%29+=+9%28s%5E2+-+9%29\"
\n" ); document.write( "divide both sides by \"3\"
\n" ); document.write( "\"20%2A%28s+%2B+3+%2B+s+-+3%29+=+3s%5E2+-+27\"
\n" ); document.write( "\"40s+=+3s%5E2+-+27\"
\n" ); document.write( "\"3s%5E2+-+40s+-+27+=+0\"
\n" ); document.write( "solve using quadratic fornula
\n" ); document.write( "\"s+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"s+=+%28-%28-40%29+%2B-+sqrt%28+%28-40%29%5E2-4%2A3%2A%28-27%29+%29%29%2F%282%2A3%29+\"
\n" ); document.write( "\"s+=+%2840+%2B-+sqrt%281600+%2B+324+%29%29+%2F+6+\"
\n" ); document.write( "\"s+=+%2840+%2B-+sqrt%281924+%29%29+%2F+6+\"
\n" ); document.write( "\"s+=+%2840+%2B+43.863%29%2F6\"
\n" ); document.write( "\"s+=+83.86%2F6\"
\n" ); document.write( "\"s+=+13.98\"mi/hr
\n" ); document.write( "If you plug this back into the original equation, it checks out
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