document.write( "Question 852414: Here is another headache for me!\r
\n" ); document.write( "\n" ); document.write( "A motorboat maintained a constant speed of 20 miles per hr relative to the water in going 24 miles upstream and the returning. The total time for the trip is 2.5 hours. \r
\n" ); document.write( "\n" ); document.write( "Use this information to find the speed of the current.\r
\n" ); document.write( "\n" ); document.write( "Please help. I really need an answer.
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Algebra.Com's Answer #513343 by josgarithmetic(39618)\"\" \"About 
You can put this solution on YOUR website!
This part of your description is bad: \"a constant speed of 20 miles per hr relative to the water\".\r
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\n" ); document.write( "\n" ); document.write( "The trip distance is also not perfectly clear; I'm assuming as 24 miles in either direction.\r
\n" ); document.write( "\n" ); document.write( "Try to put data into a table.\r
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\n" ); document.write( "\n" ); document.write( "__________________speed________time_______distance
\n" ); document.write( "Upstream__________20-c_________(___)______24
\n" ); document.write( "Downstream________20+c_________(___)______24
\n" ); document.write( "TOTAL__________________________2.5\r
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\n" ); document.write( "\n" ); document.write( "Uniform rate for travel follows \"RT=D\", so fill the time information as \"T=D%2FR\".\r
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\n" ); document.write( "\n" ); document.write( "__________________speed________time_______distance
\n" ); document.write( "Upstream__________20-c_________\"24%2F%2820-c%29\"______24
\n" ); document.write( "Downstream________20+c_________\"24%2F%2820%2Bc%29\"______24
\n" ); document.write( "TOTAL__________________________2.5\r
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\n" ); document.write( "\n" ); document.write( "The time sum equation has only the variable, c as unknown. That is the speed of the current of the river.
\n" ); document.write( "\"highlight_green%2824%2F%2820-c%29%2B24%2F%2820%2Bc%29=2.5%29\".\r
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\n" ); document.write( "\n" ); document.write( "SOLVING THE EQUATION
\n" ); document.write( "LCD is (20-c)(20+c).
\n" ); document.write( "\"24%2820%2Bc%29%2B24%2820-c%29=2.5%2820%5E2-c%5E2%29\"
\n" ); document.write( "\"24%2820%2Bc%2B20-c%29=%285%2F2%29%28400-c%5E2%29\"
\n" ); document.write( "\"24%2A20%2A2=5%28400-c%5E2%29\"
\n" ); document.write( "\"720=2000-500c%5E2\"
\n" ); document.write( "\"720-2000=-500c%5E2\"
\n" ); document.write( "\"500c%5E2=2000-720\"
\n" ); document.write( "\"500c%5E2=1280\"
\n" ); document.write( "\"50c%5E2=128\"
\n" ); document.write( "\"c%5E2=128%2F50=2.56\"
\n" ); document.write( "\"highlight%28c=1.6%29\"
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