Flying against the wind, an airplane travels 3060 kilometers in 3 hours. Flying with the wind, the same plane travels 7560 kilometers in 6 hours. What is the rate of the plane in still air and what is the rate of the wind ?

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WaywardDelaney WaywardDelaney · Answer 1 · 2019-11-13T14:05:51+01:00

Answer:

The speed of plane against wind S 1 = 1020 kmph And

The speed of plane with wind S 2 = 1260 kmph

Step-by-step explanation:

Given as :

The distance of airplane against the wind = D 1 = 3060 km

The time taken in against the wind = T 1 = 3 hours

The distance of airplane with the wind = D 2 = 7560 km

The time taken in with the wind = T 2 = 6 hours

Now, Speed of plane against the wind = [tex]\frac{Distance}{Time}[/tex]

So, S 1 = [tex]\frac{D 1}{T 1}[/tex]

Or, S 1 = [tex]\frac{3060}{3}[/tex] = 1020 kmph

Similarly

Speed of plane with the wind = [tex]\frac{Distance}{Time}[/tex]

Or, S 2 = [tex]\frac{D 2}{T 2}[/tex]

Or, S 2 = [tex]\frac{7560}{6}[/tex] = 1260 kmph

Hence The speed of plane against wind S 1 = 1020 kmph And

The speed of plane with wind S 2 = 1260 kmph Answer