SOLUTION: A plane flew for 4 hours against a 10mph wind. It then flew for 3 hours with the same wind. In all the plane flew for 1390 miles. Find the rate of the plane in still air

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Question 1128807: A plane flew for 4 hours against a 10mph wind. It then flew for 3 hours with the same wind. In all the plane flew for 1390 miles. Find the rate of the plane in still air
Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let x be the plane speed in still air, in miles per hour.


Then the speed with the wind is (x+10) mph, while the speed against the wind is (x-10) mph.


The total distance equation is


    4*(x-10) + 3*(x+10) = 1390   mi,es.


Solve for x.


Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A plane flew for 4 hours against a 10mph wind. It then flew for 3 hours with the same wind. In all the plane flew for 1390 miles. Find the rate of the plane in still air
---------
a = plane's airspeed
---
(a-10)*4 + (a+10)*3 = 1390