SOLUTION: A plane traveled 630 miles to Baltimore and back. The trip there was with the wind. It took 7 hours. The trip back was into the wind. The trip back took 20 hours. What is the speed

Question 808798: A plane traveled 630 miles to Baltimore and back. The trip there was with the wind. It took 7 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 with the wind?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
630 / 2 = 315 miles
s = d / t
s1 = p + w = 315 / 7 = 45 mph
s2 = p - w = 315 / 20 = 15.75 mph
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p + w = 45
p = 15.75 + w
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(15.75 + w) + w = 45
15.75 + 2w = 45
2w = 29.25
w = 14.625 mph
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Answer:
wind: 14.625 mph
plane: 30.375 mph
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