Aptitude:: Time and Distance

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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 hour B. 2 hours
C. 3 hours D. 4 hours

Answer: Option A

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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