SOLUTION: A plane travels 100 mph in still air. It travels 240 miles into the wind and 240 miles with the wind in a total time of 5 hours. Find the wind speed.

Question 723156: A plane travels 100 mph in still air. It travels 240 miles into the wind and
240 miles with the wind in a total time of 5 hours. Find the wind speed.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the wind speed in mi/hr
= the plane's speed going with the wind in mi/hr
= the plane's speed going against the wind in mi/hr
Let = plane's time going against the wind in hrs
= planes time going with the wind in hrs
----------------
Equation going against the wind:
(1)
Equation going with the wind:
(2)
-----------------------------
(2)
(2)
(2)
and,
(1)
(1)
Substitute this result into (2)
(2)
(2)
(2)
(2)
(2)
(2)
The wind speed is 20 mi/hr
------------------------
check answer:
(1)
(1)
(1)
(1) hrs
and
(2)
(2)
(2)
(2)
(2) hrs
OK

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