SOLUTION: I am having a hard time with word problems if you could help me I would appreciate it here it goes: a plane flying with the wind went 600 miles in 3 hours. The return trip,flying

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Question 30900: I am having a hard time with word problems if you could help me I would appreciate it here it goes: a plane flying with the wind went 600 miles in 3 hours. The return trip,flying against the wind took 4 hours. Find the rate of the plane in calm air and the rate of the wind.
Answer by Paul(988)   (Show Source): You can put this solution on YOUR website!
Let the speed of the plane be x
Let the speed of the wind be y
3(x+y)=600 --->3x+3y=600
Solve for y in the first equation:
3y=600-3x
y=200-x (subsitution)

4(x-y)=600
4x-4y=600
Subsitute for y:
4x-4(200-x)=600
4x-800+4x=600
8x=1400
x=175

y=200-175
y=25.
Hence, the speed of the plane is 175mph and the speed of the wind is 25mph.

Paul. 

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