Question

A small single engine airplane flies 120 miles in 2 hours against the wind (headwind). It then turns around and flies 240 miles in 2 hours with the wind (downwind). How fast is the airplane flying? What speed is the wind blowing at?

Answer 1

The speed of the airplane is 90 miles per hour and the speed of the wind is 30 miles per hour.

Relative Speed Concept;

When the plane flies against the wind;

• Relative Speed = 120 = x -y

When the plane flies with the wind;

• Relative Speed = 240 = x +y

Where in;

• The speed of the air plane = x
• The speed of the wind = y

By solving the equations simultaneously; we have;

• x = 180 miles in 2 hours and y = 60 in 2 hours.

Ultimately, the speed of the airplane is 90 miles per hour and the speed of the wind is 30 miles per hour.

Read more on relative Speed;

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