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:

1 hour
2 hours
3 hours
4 hours

Correct Answer: 1 hour

Explanation:

Let the duration of the flight be x hours.

Then,	600	-	600	= 200
	x		x + (1/2)

⟹	600	-	1200	= 200
	x		2x + 1

⟹ x(2x + 1) = 3

⟹ 2x² + x - 3 = 0

⟹ (2x + 3)(x - 1) = 0

⟹ x = 1 hr. [neglecting the -ve value of x]

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