Question

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 1

The duration of the flight is 1 hour

Let the duration of the flight be x hours.

Then,600/x-600/x + (1/2)= 200
         600/x-1200/2x + 1= 200 
         x(2x + 1) = 3
         2x² + x - 3 = 0
        (2x + 3)(x - 1) = 0 
         x = 1 hr.

Answer 2

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Let the duration of the flight be x hours.

Continued in the picture.

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