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 average speed of aircraft is

Average speed 600 km/hr

Reduced to 400 km/hr

Step-by-step explanation:

30 mins = 0.5 hours

600 / (x-200) - 600/x = 0.5

600x - 600x + 120000 = 0.5x² - 100x

0.5x² - 100x - 120000 = 0

x² - 200x - 240000 = 0

x² - 600x + 400x - 240000 = 0

x (x - 600) + 400 (x - 600) = 0

(x + 400) (x - 600) = 0

x = 600