SOLUTION: With a 50 mi/h tailwind, a plane flies 1200 miles in the same amount of time it can travel 1000 miles AGAINST a 50 mi/h headwind. What is the plane's speed in still air?

Question 866727: With a 50 mi/h tailwind, a plane flies 1200 miles in the same amount of time it can travel 1000 miles AGAINST a 50 mi/h headwind. What is the plane's speed in still air?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Versus Wind__________Speed__________time_________distance
WITH_________________r+50____________t___________1200
AGAINST______________r-50____________t___________1000

r = speed of plane if wind absent
t = unknown time for both directions described

Uniform Motion Rate, RT=D for rate, time, distance.

Time WITH Wind:

Time AGAINST Wind:

The times were given as equal.

, plane's speed in still air.
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