Question

In a flight of 600 km, the speed of the aircraft was slowed down due to
bad weather. The average speed of the trip was decreased by 200 km/hr
and thus the time of flight increased by 30 minutes. Find the average
speed of the aircraft originally.​

Answer 1

$\huge\mathbb{\underline{Answer:-}}$

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

Answer:

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.