SOLUTION: Hi there, Im having a very hard time figuring out how to set up this word problem. I know the answer is 153 mph from the back of the book� I just need to know how to solve it:

Question 865685: Hi there, Im having a very hard time figuring out how to set up this word problem. I know the answer is 153 mph from the back of the book� I just need to know how to solve it:
Horizons has a manufacturing plant 300 mi from company headquarters. Their corporate pilot must fly from headquarters to the plant and back in 4 hr. Is there is a 20-mph headwind going and a 20-mph tailwind returning, how fast must the plane be able to travel in still air?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
a+b=4,
a*(x-20)=300,
b*(x+20)=300
a=2.26209, b=1.73791, x=152.621 rounded =153
133 mph against the wind for 2.26 hours
173 mph with the wind for 1.74 hours

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