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(52905)   (Show Source): You can put this solution on YOUR website!
.
On jet stream see this Wikipedia article: https://en.wikipedia.org/wiki/Jet_stream

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.

See the lessons
    - Wind and Current problems
    - Wind and Current problems solvable by quadratic equations
    - Selected problems from the archive on a plane flying with and against the wind
in this site.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the section "Word problems", the topic "Travel and Distance problems".


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