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 int
o 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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1 answer:
Answer:
Step-by-step explanation:
Let the speed of plane is p and speed of the wind is w.
<u>Then we have:</u>
- 10*(p + w) = 1120 ⇒ p + w = 112
- 20*(p - w) = 1120 ⇒ p - w = 56
<u>Sum the two equations and solve for p:</u>
- p + w + p - w = 112 + 56
- 2p = 168
- p = 84
<u>Find w:</u>
- 84 + w = 112
- w = 112 - 84
- w = 28
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