In a flight of 9 0 0 - - an aircraft was slowed down due to torrential rains- Speed was reduced by 3 0 0 - - - - - and the time of flight increased by half an hour- What was the duration of the flight-

The correct option is A 1 hr Let the duration of the flight be x hours. Then, 900/x 900/x + 0.5 = 300 900/x 1800/2x+1 = 300 x(2x + 1) = 3 2x^2 + x 3 ...

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In a flight of 900 km, an aircraft was slowed down due to torrential rains. Speed was reduced by 300 km/hr and the time of flight increased by half an hour. What was the duration of the flight?

1 hr

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Solution

The correct option is A
1 hr

Let the duration of the flight be x hours.

$T h e n, \frac{900}{x} - \frac{900}{x + 0.5} = 300 \frac{900}{x} - \frac{1800}{2 x + 1} = 300 x (2 x + 1) = 3 2 x^{2} + x - 3 = 0 (2 x + 3) (x - 1) = 0 x = 1 h r$

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In a flight of 900 km, an aircraft was slowed down due to torrential rains. Speed was reduced by 300 km/hr and the time of flight increased by half an hour. What was the duration of the flight?

The correct option is A 1 hr Let the duration of the flight be x hours. Then, 900x−900x+0.5=300900x−18002x+1=300x(2x+1)=32x2+x−3=0(2x+3)(x−1)=0x=1hr

The correct option is A
1 hr

Let the duration of the flight be x hours.

$T h e n, \frac{900}{x} - \frac{900}{x + 0.5} = 300 \frac{900}{x} - \frac{1800}{2 x + 1} = 300 x (2 x + 1) = 3 2 x^{2} + x - 3 = 0 (2 x + 3) (x - 1) = 0 x = 1 h r$