document.write( "Question 1165518: A boat traveled downstream a distance of 48 miles and then came right back. If the speed of the current was 12 mph and the total trip took 5 hours and 20 mins, find the average speed of beat relative to water. \n" ); document.write( "
Algebra.Com's Answer #790124 by MathTherapy(10555)\"\" \"About 
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\n" ); document.write( "A boat traveled downstream a distance of 48 miles and then came right back. If the speed of the current was 12 mph and the total trip took 5 hours and 20 mins, find the average speed of beat relative to water.
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Bemow you'll find the correct setup and CORRECT answer. 
\n" ); document.write( "Let boat's average speed be S
\n" ); document.write( "Then the time gong downstream = \"48%2F%28S+%2B+12%29\", and time spent going upstream = \"48%2F%28S+-+12%29\"
\n" ); document.write( "We get the following TIME equation:
\n" ); document.write( " \"matrix%281%2C3%2C+3%2F%28S+%2B+12%29+%2B+3%2F%28S+-+12%29%2C+%22=%22%2C+1%2F3%29\" ---- Factoring out GCF, 16, in numerator
\n" ); document.write( " 3(3)(S - 12) + 3(3)(S + 12) = (S + 12)(S - 12) ------ Multiplying by LCD, 3(S + 12)(S - 12)
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\n" ); document.write( " 0 = (S - 24)(S + 6)
\n" ); document.write( " 0 = S - 24 or 0 = S + 6
\n" ); document.write( " Speed of boat, or \"highlight_green%28matrix%281%2C4%2C+S%2C+%22=%22%2C+24%2C+mph%29%29\" or - 6 = S (ignore) \n" ); document.write( "
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