document.write( "Question 1030170: The helicopter could fly at 4 times the speed of the wind. Thus, it could travel 600 miles downwind in 1 hour more than it took to travel 300 miles upwind. What was the speed of the helicopter in still air?
\n" ); document.write( "---I am not sure how this problem is solved. I have done other problems somewhat similar to this, but this is a bit more difficult. An explanation would be greatly appreciated. Thank you!
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Algebra.Com's Answer #645079 by MathTherapy(10552)\"\" \"About 
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The helicopter could fly at 4 times the speed of the wind. Thus, it could travel 600 miles downwind in 1 hour more than it took to travel 300 miles upwind. What was the speed of the helicopter in still air?
\n" ); document.write( "---I am not sure how this problem is solved. I have done other problems somewhat similar to this, but this is a bit more difficult. An explanation would be greatly appreciated. Thank you!
\n" ); document.write( "
Let the speed of the helicopter, in still air, be S
\n" ); document.write( "Then speed of wind = \"matrix%281%2C3%2C+%281%2F4%29S%2C+or%2C+S%2F4%29\"
\n" ); document.write( "Time it took to travel downwind: \"600%2F%28S+%2B+S%2F4%29\"
\n" ); document.write( "Time it took to travel upwind: \"300%2F%28S+-+S%2F4%29\"
\n" ); document.write( "We then get: \"600%2F%28S+%2B+S%2F4%29+=+300%2F%28S+-+S%2F4%29+%2B+1\"
\n" ); document.write( "\"600%28S+-+S%2F4%29+=+300%28S+%2B+S%2F4%29+%2B+1%28S+%2B+S%2F4%29%28S+-+S%2F4%29\" ----- Multiplying by LCD, \"%28S+%2B+S%2F4%29%28S+-+S%2F4%29\"
\n" ); document.write( "\"600S+-+150S+=+300S+%2B+75S+%2B+S%5E2+-+S%5E2%2F16\"
\n" ); document.write( "\"450S+=+375S+%2B+S%5E2+-+S%5E2%2F16\"
\n" ); document.write( "\"S%5E2+-+S%5E2%2F16+%2B+375S+-+450S+=+0\"
\n" ); document.write( "\"S%5E2+-+S%5E2%2F16+-+75S+=+0\"
\n" ); document.write( "\"16S%5E2+-+S%5E2+-+16%2875S%29+=+0\" ------- Multiplying by LCD, 16
\n" ); document.write( "\"15S%5E2+-+16%2875S%29+=+0\"
\n" ); document.write( "\"15%28S%5E2%29+-+15%285S%29%2816%29+=+0\"
\n" ); document.write( "\"S%5E2+-+80S+=+0\"
\n" ); document.write( "S(S - 80) = 0
\n" ); document.write( "S or speed or helicopter, in still air = \"highlight_green%28matrix%281%2C2%2C+80%2C+mph%29%29\" OR S = 0 (ignore) \n" ); document.write( "
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