SOLUTION: A blimp flies at 60 miles per hour. A round trip of 40 miles into the wind and 40 miles with the wind takes 1.5 hours. What is the speed of the wind?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A blimp flies at 60 miles per hour. A round trip of 40 miles into the wind and 40 miles with the wind takes 1.5 hours. What is the speed of the wind?      Log On


   

Question 401302: A blimp flies at 60 miles per hour. A round trip of 40 miles into the wind and 40 miles with the wind takes 1.5 hours. What is the speed of the wind?
Answer by mananth(16949) About Me  (Show Source):
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A blimp flies at 60 miles per hour. A round trip of 40 miles into the wind and 40 miles with the wind takes 1.5 hours. What is the speed of the wind?
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60 miles per hour.
wind speed = w
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against wind speed = 60-w
with wind speed = 60+w
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40 miles into the wind
40 miles with the wind takes 1.5 hours.
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time with wind + time agianst wind = 1.5 hours
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t=d/r
40%2F%2860%2Bw%29++%2B40%2F%2860-w%29=+1.5
LCD = (60+w)(60-w)
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multiply by the LCD
40(60-w)+40(60+w)=1.5(60+w)(60-w)
2400-40w+2400+40w=1.5(3600-w^2)
4800=1.5(3600-w^2)
divide by 1.5
3200=3600-w^2
w^2=3600-3200
w^2=400
w=20 mph ===>speed of wind
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m.ananth@hotmail.ca