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with a head wind, it takes 7 hours to fly 2800 miles from miami to seattle. with a tailwind, and the same airspeed, it takes 5 hours to fly in the opposite direction, from seattle to miami. find the airspeed and the windspeed

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segunare233

Answer:

Plane speed: 480mph

Wind speed: 80mph

Step-by-step explanation:

Miami to Seattle: time = 7hrs

Speed (s) = 2800mph

D = speed/time = 2800/7

= 400mph

Seattle to Miami:

Same speed = 2800mp

Time = 5hrs

Distance (D) = speed/time

= 2800/5 = 560mph

Let p be speed of plane and w wind speed.

Therefore, P+w = 560. . .1

P-w = 400. . .2

2p = 960

P = 960/2 = 480

Therefore, P + w = 560

480 + w = 560

W = 80mph

While P = 480mph

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