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:
[A].1 hour
2 hours
3 hours
4 hours
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].
[B].
[C].
[D].
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
2×2 + x – 3 = 0
(2x + 3)(x – 1) = 0
x = 1 hr. [neglecting the -ve value of x]