Question
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
Answer: Option A
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Let the duration of the flight be x hours.
Then,\(\frac{600}{x}-\frac{600}{x+(\frac{1}{2})}=200\)
\(\frac{600}{x}-\frac{1200}{2x+1}=200\)
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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