Question

Plane traveled 1120 miles each way to Munich and back. The trip there was with the wind. It took 10 hours. The trip back was into the wind. The trip back took 20 hours. What is the speed of the plane in still air? What is the speed of the wind?
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Answer 1

Answer:

• 84 mph and 28 mph

Step-by-step explanation:

Let the speed of plane is p and speed of the wind is w.

Then we have:

• 10*(p + w) = 1120 ⇒ p + w = 112
• 20*(p - w) = 1120 ⇒ p - w = 56

Sum the two equations and solve for p:

• p + w + p - w = 112 + 56
• 2p = 168
• p = 84

Find w:

• 84 + w = 112
• w = 112 - 84
• w = 28