Answer:
The original duration of the flight is of 5 hours.
Explanation:
Given:
Total distance covered by the flight =
km
Let the speed of the flight in normal condition be
km/hr
And the average speed in bad weather = (
) km/hr
Time taken increases when the speed of the flight decreases.
Time taken in normal condition,
=
=
hr
Time taken in bad weather,
hr
Here we can observe the difference of time =
hr
So,
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using middle term splitting method.
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Note: We can also use quadratic formula directly to find 'x' values.
Discarding the negative value as speed can't be negative.
Speed of the flight in normal condition =
km\hr
Speed of the flight in bad weather =
km\hr
Original duration of the flight = Ratio of distance and speed in normal condition.
⇒ Original duration =
hr
But due to bad weather the duration of the flight will be an hour more that is
hrs.
The original duration of the flight is 5 hours.