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Due to the heavy rainfall, the speed of flight is reduced by 20% of its usual speed due to which the time of the flight is increased by 2 hrs of its usual time, then find the usual time of the flight.

Due to the heavy rainfall, the speed of flight is reduced by 20% of its usual speed due to which the time of the flight is increased by 2 hrs of its usual time, then find the usual time of the flight. Correct Answer 8 hours

Given:

Reduction in the speed of the flight = 20%

Increase in the time of the flight = 2hrs.

Concept:

Using the ratio of speed which is inversely proportional to time.

Formula used:

Speed = 1/time  (when distance is same)

Calculation:

Let the usual speed of the flight be x

Speed of the flight during rainfall = 80% of its usual speed = 4x/5

Rainfall condition : usual condition

We know that when distance is same then the speed is inversely proportional to time

Ratio of two speeds = 4x/5 : x

⇒ Ratio of time = x : 4x/5

According to the question,

Increase in the time of the flight = 2 hrs

⇒ x – 4x/5 = 2

⇒ (5x – 4x)/5 = 2

⇒ x = 10 hrs

So, usual time of the flight = 4x/5 = (4 × 10)/5 = 8 hrs

∴ Required answer is 8 hrs

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