document.write( "Question 971061:
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document.write( "A plane flew 720 mi with a steady 30 mi/hr tailwind. The pilot then returned to the starting point, flying against the same wind. If the round-trip flight took 10 hr, what was the plane's airspeed?
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Algebra.Com's Answer #593657 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "A plane flew 720 mi with a steady 30 mi/hr tailwind. The pilot then returned to the starting point, flying against the same wind. If the round-trip flight took 10 hr, what was the plane's airspeed? \n" ); document.write( "--------------- \n" ); document.write( "a = plane's airspeed \n" ); document.write( "--- \n" ); document.write( "720/(a+30) + 720/(a-30) = 10 \n" ); document.write( "72/(a+30) + 72/(a-30) = 1 \n" ); document.write( "72(a-30) + 72(a+30) = a^2 - 900 \n" ); document.write( "144a = a^2 - 900 \n" ); document.write( "a^2 - 144a - 900 = 0 \n" ); document.write( "(a - 150)*(a + 6) = 0 \n" ); document.write( "a = 150 mi/hr \n" ); document.write( " \n" ); document.write( " |