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Question

In a flight of 600km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200km/hr and the time of flight increased by 30 minutes. The duration of the flight is:

A
1 Hour
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B
3 Hours
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C
2 Hours
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D
4 Hours
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Solution

The correct option is B 1 Hour
Let the duration of the flight be x hours.

It is given that the average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes, therefore, we have:

600x600x+12=200

600x12002x+1=200

600(2x+1)x(2x+1)1200xx(2x+1)=200

1200x+6001200xx(2x+1)=200

600x(2x+1)=200

x(2x+1)=600200

x(2x+1)=3

2x2+x=3

2x2+x3=0

2x22x+3x3=0

2x(x1)+3(x1)=0

(2x+3)(x1)=0

(2x+3)=0,(x1)=0

x=32,x=1

Ignoring the negative values, we have x=1.

Hence, the duration of the flight is 1 hour.

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