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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. The duration of the flight is:

A. 1 hr

B. 2 hr

C. 3 hr

D. 4 hr

Correct Answer :

A. 1 hr

Let the duration of the flight be x hours.

T h e n, \frac{600}{x} - \frac{600}{x + (1 / 2)} = 200

\Rightarrow \frac{600}{x} - \frac{1200}{2 x + 1} = 200

\Rightarrow x (2 x + 1) = 3

\Rightarrow 2 x^{2} + x - 3 = 0

\Rightarrow (2 x + 3) (x - 1) = 0

\Rightarrow x = 1 h r . [n e g l e c t i n g t h e - v e v a l u e o f x]

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