document.write( "Question 833372: A jet plane, flying 110 mph faster than a propeller plane, travels 5280 miles in 4 hours less time than the propeller plane takes to fly the same distance. How fast does each plane fly? \n" ); document.write( "

Algebra.Com's Answer #502527 by MathTherapy(10552) $\"\"$ $\"About$

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A jet plane, flying 110 mph faster than a propeller plane, travels 5280 miles in 4 hours less time than the propeller plane takes to fly the same distance. How fast does each plane fly?


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document.write( "Let propeller plane's speed = S
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document.write( "Then jet plane's speed = S + 110
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document.write( "Propeller plane's time to travel 5,280 miles: 
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document.write( "Jet plane's time to travel 5,280 miles: 
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document.write( "Since jet plane takes 4 hours less, then we can say that:
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document.write( "5280(S + 110) - 4(S)(S + 110) = 5280S ----- Multiplying by LCD, S(S + 110)
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document.write( " ----- Factoring out GCF, 4
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document.write( "(S - 330)(S + 440) = 0
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document.write( "S = 330               OR             S = - 440 (ignore)
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document.write( "S, or speed of propeller plane, for 5,280 miles =  mph
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document.write( "Speed of jet plane, for 5,280 miles: 330 + 110, or  mph
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document.write( "If you need a complete and detailed solution, let me know!!\r
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