Question 711058: A jet liner takes 1.2 hours longer to fly from Paris, France to New York, New York (3600 miles) than to return. If the jet cruises at 550 mph in still air, what is the average rate of the wind blowing in the direction of New York, New York to Paris, France?
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! A jet liner takes 1.2 hours longer to fly from Paris, France to New York, New York (3600 miles) than to return. If the jet cruises at 550 mph in still air, what is the average rate of the wind blowing in the direction of New York, New York to Paris, France?
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let x=average rate of wind
speed of jet liner, Paris to New York,=550-x
speed of jet liner, New York to Paris=550+x
Travel time=distance/speed
3600/(550+x)-3600/(550-x)=1.2
LCD: (550+x)(550-x)
3600(550-x)-3600(550+x)=1.2(550+x)(550-x)
3600*550-3600x-3600*550-3600x=1.2(550^2-x^2)
-7200x=1.2*550^2-1.2x^2
-6000x=550^2-x^2
x^2-6000x-302500=0
(x-50)(x+6050)=0
x=50
average rate of wind=50 mph
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