SOLUTION: Flying with the wind, a plane traveled 510 miles in 3 hours. Flying against the wind, the plane traveled the same distance in 5 hours. Find the rate of the plane in calm air and th

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Question 743918: Flying with the wind, a plane traveled 510 miles in 3 hours. Flying against the wind, the plane traveled the same distance in 5 hours. Find the rate of the plane in calm air and the rate of the wind.
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = the speed of the plane in still air in mi/hr
Let = the speed of the wind in mi/hr
= plane's speed flying with the wind in mi/hr
= plane's speed flying against the wind in mi/hr
--------------------
Flying with the wind:
(1)
Flying against the wind:
(2)
----------------------
(1)
and
(2)
---------------------
(1)
(2)
Add the equations


and
(1)
(1)
The rate of the plane in calm air is 136 mi/hr
The rate of the wind is 34 mi/hr
check:
(2)
(2)
OK



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