SOLUTION: In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The d

Algebra ->  Test -> SOLUTION: In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The d      Log On


   

Question 891083: In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:
Answer by lwsshak3(11628) About Me  (Show Source):
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In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:
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x=average speed
x-200=reduced average speed
600%2F%28x-200%29-600%2Fx=30%2F60=1%2F2
lcd:x(x-200)
600x-600(x-200)=(x^2-200x)/2
600x-600x+120000=(x^2-200x)/2
x^2-200x-240000=0
(x+400)(x-600)=0
x=-400(reject)
or
x=600
x-200=400 (reduced speed)
travel time=distance/speed
600/400=3/2=1.5
duration of the flight is: 1.5 hr