In a flight of 600 kms an aircraft was slowed down due to bad weather Its average speed for the trip...........

Quantitative Aptitude ( CCS) Time & distance

In a flight of 600 kms an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km per hour and the time of flight increased by 30 minutes. Find the duration of flight.

1.2 hours

1 hour

1.5 hours

2 hours

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Explanation:

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