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
Explanation:
Let the duration of the flight be x hours.
Then,$\dfrac{600}{x}-\dfrac{600}{x+(1/2)}=200$
$\Rightarrow \dfrac{600}{x}-\dfrac{1200}{2x+1}=200$
$\Rightarrow$ x(2x + 1) = 3
2x2 + x - 3 = 0
(2x + 3)(x - 1) = 0
x = 1 hr. [neglecting the -ve value of x]
Let the duration of the flight be x hours.
Then,$\dfrac{600}{x}-\dfrac{600}{x+(1/2)}=200$
$\Rightarrow \dfrac{600}{x}-\dfrac{1200}{2x+1}=200$
$\Rightarrow$ x(2x + 1) = 3
2x2 + x - 3 = 0
(2x + 3)(x - 1) = 0
x = 1 hr. [neglecting the -ve value of x]