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A plane flies 1,480 miles in 4 hours, with the wind. On its return trip, it took 5 hours flying against the same wind to go 1,150 miles. How fast would the plane have flown without any wind? Type in your numerical answer only; do not type any words or letters with your answer.

Respuesta :

Answer:300 mi/hr

Explanation:

Given

Plane Flies 1480 miles in 4 hr with the wind

While returning it took 5 hr to cover 1150 miles against the wind

Let [tex]v[/tex] and [tex]v_0[/tex] be the absolute speed of Plane and wind

Thus during with the flow of wind

[tex]time=\frac{Distance}{Speed}[/tex]

[tex]\frac{1480}{v+v_0}=4[/tex]

[tex]370=v+v_0[/tex]   ------------1

During return trip wind speed oppose Plane thus

[tex]\frac{1150}{v-v_0}=5[/tex]

[tex]230=v-v_0[/tex]    ----------2

adding 1 & 2 we get

[tex]600=2v+v_0-v_0[/tex]

[tex]v=300 mph[/tex]

Thus Speed of plane without wind is [tex]300 mi/hr[/tex]

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