document.write( "Question 1057326: Carol requires 3 hours to go downstream 21 miles in her motorized boat. Her return trip upstream requires 3 1/2 hours. Assuming that Carol's boat motor runs at a constant pace, find the speed of her boat in still water. \n" ); document.write( "
Algebra.Com's Answer #672368 by josgarithmetic(39623)\"\" \"About 
You can put this solution on YOUR website!
No; her motorboat does not run at a constant pace.
\n" ); document.write( "If you will describe this exercise correctly, I will solve most of it for you.\r
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\n" ); document.write( "\n" ); document.write( "I see how this SHOULD be written:
\n" ); document.write( "Carol requires 3 hours to go downstream 21 miles in her motorboat. Her return trip upstream requires 3 1/2 hours. Find the speed of her motorboat in still water.\r
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\n" ); document.write( "\n" ); document.write( "The \"assuming\" part is wrong.\r
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\n" ); document.write( "\n" ); document.write( "Let c be the speed of the river current.\r
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\n" ); document.write( "\n" ); document.write( "SETUP TABLE OF DATA\r
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document.write( "                       speed        time        distance\r\n" );
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document.write( "DOWN                   r+c          3            21\r\n" );
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document.write( "UP                     r-c         \"3%261%2F2\"        21\r\n" );
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\n" ); document.write( "\n" ); document.write( "CREATE SYSTEM OF EQUATIONS USING TRAVEL RATE RULE\r
\n" ); document.write( "\n" ); document.write( "\"system%28%28r%2Bc%29%2A3=21%2C%28r-c%29%283%261%2F2%29=21%29\"\r
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\n" ); document.write( "\n" ); document.write( "SOLVE THE SYSTEM FOR THE UNKNOWN VARIABLES
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\n" ); document.write( "\"system%28r%2Bc=7%2Cr-c=21%2F%287%2F2%29%29\"
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\n" ); document.write( "\"system%28r%2Bc=7%2Cr-c=3%2F2%29\"
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\n" ); document.write( "\"r%2Bc%2Br-c=7%2B3%2F2\"
\n" ); document.write( "\"2r=%2814%2B3%29%2F2\"
\n" ); document.write( "\"highlight%28r=17%2F4%29\"----------and this is what the question asked for.
\n" ); document.write( "\"%284%261%2F4%29%28miles%2Fhour%29\".
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