document.write( "Question 1199975: A military drone can fly at 7 miles per hour in calm conditions. For one flight, the drone flew 54 miles with the wind and 30 miles against the wind in the same amount of time. What was the wind speed for the flight? (Do not include the units in your response.)
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Algebra.Com's Answer #833961 by Alan3354(69443) You can put this solution on YOUR website! A military drone can fly at 7 miles per hour in calm conditions. For one flight, the drone flew 54 miles with the wind and 30 miles against the wind in the same amount of time. What was the wind speed for the flight? \n" ); document.write( "---------------------------- \n" ); document.write( "w = wind speed \n" ); document.write( "===\r \n" ); document.write( "\n" ); document.write( "t*(w+7) = 54 \n" ); document.write( "t*(w-7) = 30 \n" ); document.write( "--- \n" ); document.write( "tw + 7t = 54 \n" ); document.write( "tw - 7t = 30 \n" ); document.write( "---------------------- Add \n" ); document.write( "2tw = 84 \n" ); document.write( "tw = 42 \n" ); document.write( "------ \n" ); document.write( "42 + 7t = 54 \n" ); document.write( "7t = 12 \n" ); document.write( "t = 12/7 hours \n" ); document.write( "===== \n" ); document.write( "w = 42/t = 294/12 = 24.5 mi/hr \n" ); document.write( "====================================== \n" ); document.write( "The launch was not a good idea. The drone is miles away and can't return against the wind which is 3.5 times its airspeed. \n" ); document.write( " \n" ); document.write( " |