document.write( "Question 937771: A helicopter flew 15 miles against a 25 mph headwind. Then it flew back with the wind at its tail. The round trip lasted 27 minutes. Find the helicopter's speed in still air.
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Algebra.Com's Answer #571200 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "A helicopter flew 15 miles against a 25 mph headwind. Then it flew back with the wind at its tail. The round trip lasted 27 minutes. Find the helicopter's speed in still air.
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\n" ); document.write( "Let speed in still air be S
\n" ); document.write( "Then time taken to fly against the wind = \"15%2F%28S+-+25%29\"
\n" ); document.write( "Time taken to fly with the wind = \"15%2F%28S+%2B+25%29\"
\n" ); document.write( "Since total trip time was 27 minutes, or \"27%2F60\", or \"9%2F20\" hr, then: \"15%2F%28S+-+25%29+%2B+15%2F%28S+%2B+25%29+=+9%2F20\"
\n" ); document.write( "15(20)(S + 25) + 15(20)(S – 25) = 9(S – 25)(S + 25) ----- Multiplying by LCD, 20(S – 25)(S + 25)
\n" ); document.write( "\"300S+%2B+7500+%2B+300S+-+7500+=+9%28S%5E2+-+625%29\"
\n" ); document.write( "\"600S+=+9S%5E2+-+5625\"
\n" ); document.write( "\"9S%5E2+-+600S+-+5625+=+0\"
\n" ); document.write( "\"3%283S%5E2+-+200S+-+1875%29+=+3%280%29\"
\n" ); document.write( "\"3S%5E2+-+200S+-+1875+=+0\"
\n" ); document.write( "(S – 75)(3S + 25) = 0
\n" ); document.write( "S, or speed in still air = \"highlight_green%2875%29\" mph OR S = \"-+25%2F3\" (ignore) \n" ); document.write( "
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