document.write( "Question 974580: Meg rowed her boat upstream a distance of 20 miles and then rowed back to the starting point. The total time of the trip was 12 hours. If the rate of the current was 4 mph, find the average speed of the boat relative to the water \n" ); document.write( "
Algebra.Com's Answer #596461 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "Meg rowed her boat upstream a distance of 20 miles and then rowed back to the starting point. The total time of the trip was 12 hours. If the rate of the current was 4 mph, find the average speed of the boat relative to the water
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Let average speed in still water be S
\n" ); document.write( "Time taken to travel upstream: \"20%2F%28S+-+4%29\"
\n" ); document.write( "Time taken to travel downstream: \"20%2F%28S+%2B+4%29\"
\n" ); document.write( "We then get: \"20%2F%28S+-+4%29+%2B+20%2F%28S+%2B+4%29+=+12\"
\n" ); document.write( "20(S + 4) + 20(S – 4) = 12(S – 4)(S + 4) ---- Multiplying by LCD, (S – 4)(S + 4)
\n" ); document.write( "\"20S+%2B+80+%2B+20S+-+80+=+12%28S%5E2+-+16%29\"
\n" ); document.write( "\"40S+=+12S%5E2+-+192\"
\n" ); document.write( "\"12S%5E2+-+40S+-+192+=+0\"
\n" ); document.write( "\"4%283S%5E2+-+10S+-+48%29+=+4%280%29\"
\n" ); document.write( "\"3S%5E2+-+10S+-+48+=+0\"
\n" ); document.write( "(S – 6)(3S + 8) = 0
\n" ); document.write( "S, or speed of boat in still water = \"highlight_green%286%29\" mph \n" ); document.write( "
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