document.write( "Question 1094371: Traveling at full speed on a river, it takes 4 hours for a motorboat to travel 18 miles upstream and 21 miles downstream. If the current's speed is 2 mph, what is the maximum speed of the boat in still water? \n" ); document.write( "
Algebra.Com's Answer #708928 by josgarithmetic(39620)\"\" \"About 
You can put this solution on YOUR website!
Travel Rates Rule, RT=D to relate speed, time, distance\r
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\n" ); document.write( "\n" ); document.write( "r, speed of boat when not in a current\r
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\n" ); document.write( "\n" ); document.write( "\"r-2\", upstream rate
\n" ); document.write( "\"r%2B2\", downstream rate\r
\n" ); document.write( "\n" ); document.write( "total time, 4 hours\r
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document.write( "               SPEED       TIME       DISTANCE\r\n" );
document.write( "UPSTREAM        r-2       18/(r-2)      18\r\n" );
document.write( "DOWNSTREAM      r+2       21/(r+2)      21\r\n" );
document.write( "TOTAL                      4\r\n" );
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\r
\n" ); document.write( "\n" ); document.write( "Total time:
\n" ); document.write( "\"18%2F%28r-2%29%2B21%2F%28r%2B2%29=4\"\r
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\n" ); document.write( "\n" ); document.write( ".\r
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\n" ); document.write( "\"4r%5E2-39r-10=0\"
\n" ); document.write( "-
\n" ); document.write( "\"discriminant=39%5E2%2B4%2A4%2A10=1681=41%5E2\"
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\n" ); document.write( "\"r=%2839%2B-+41%29%2F8\"-----must take the positive value\r
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\n" ); document.write( "\n" ); document.write( "\"r=80%2F8\"\r
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\n" ); document.write( "\n" ); document.write( "\"highlight%28r=10%29\"
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