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. Find the duration of flight .
Answers
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:
***
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
Answer:
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:
***
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