SOLUTION: With a headwind, a small plane can fly 240 miles in 3 hours. With a tailwind the plane can fly the same distance in 2 hours. Let p be the rate of the plane and w be the rate of

Algebra ->  Expressions-with-variables -> SOLUTION: With a headwind, a small plane can fly 240 miles in 3 hours. With a tailwind the plane can fly the same distance in 2 hours. Let p be the rate of the plane and w be the rate of      Log On


   



Question 966424: With a headwind, a small plane can fly 240 miles in 3 hours. With a tailwind the plane can fly the same distance in 2 hours.
Let p be the rate of the plane and w be the rate of the wind.
Rate Multiplied with Time Equals Distance
With Headwind p-w * 3 = 240
With Tailwind p-w * 2 = 240
Use the information in each row to write a system of equations
Solve the system of equations the find the rates of the plane and wind








Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
With a headwind, a small plane can fly 240 miles in 3 hours. With a tailwind the plane can fly the same distance in 2 hours.
Let p be the rate of the plane and w be the rate of the wind.
Rate Multiplied with Time Equals Distance
With Headwind p-w * 3 = 240
With Tailwind p-w * 2 = 240 *********** Should be p+w
Use the information in each row to write a system of equations
Solve the system of equations the find the rates of the plane and wind
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The plane's airspeed is the average of the groundspeeds, upwind and downwind.
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Wind speed is the difference between airspeed and groundspeed.
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