SOLUTION: A jet travels 1102 mi against a jetstream in 2 hours and 1262 mi with the jetstream in the same amount of time. What is the rate of the jet in still air and what is the rate of th
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-> SOLUTION: A jet travels 1102 mi against a jetstream in 2 hours and 1262 mi with the jetstream in the same amount of time. What is the rate of the jet in still air and what is the rate of th
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Question 1074434: A jet travels 1102 mi against a jetstream in 2 hours and 1262 mi with the jetstream in the same amount of time. What is the rate of the jet in still air and what is the rate of the jetstream? Answer by ikleyn(52887) (Show Source):
u - v = (1) ("A jet travels 1102 mi against a jetstream in 2 hours")
v + v = (2) ("and 1262 mi with the jetstream in the same amount of time.")
Or
u - v = 551,
u + v = 631.
----------------Add
2u = 1182, u = = 591 mi/h is the rate of the jet plane in still air.
Then v = 631 - 591 = 40 mi/h is the rate of the jetstream.
It is a typical "tailwind and headwind" word problem.