SOLUTION: Assume that a plane is flying at a constant speed under
unvarying wind conditions. Traveling against a head
wind, it takes the plane 4 hours to travel 1540 miles.
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Question 545202: Assume that a plane is flying at a constant speed under
unvarying wind conditions. Traveling against a head
wind, it takes the plane 4 hours to travel 1540 miles.
Traveling with a tail wind, the plane flies 1365 miles in 3
hours. Find the speed of the plane and the speed of the
wind.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = wind speed
Let = speed of plane with no wind
= plane's speed against wind
= plane's speed with the wind
----------
given:
(1)
(2)
-------------------
(1)
(2)
Divide both sides of (1) by and
divide both sides of (2) by
Then add the equations
(1)
(2)
and
(1)
(1)
(1)
(1)
the plane's speed in still air is 420 mi/hr
The wind's speed is 35 mi/hr
check:
(1)
(1)
(1)
(1)
OK
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