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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. What is the duration of the flight ?

A. 3 hours

B. 2.4 hours

C. 1.4 hours

D. 1 hour

Correct Answer : D.


Let the duration of the flight be x hours.
Then600x-600x+12= 200
600x-12002x+1= 200
x(2x+1)=3
2x2+x−3=0
⇒(2x+3)(x−1)=0 
Neglecting the negative value for x we get x = 1

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