SOLUTION: A jet travels 2805mi against a jetstream in 5 hours and 3355mi 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 j
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Question 1134607: A jet travels 2805mi against a jetstream in 5 hours and 3355mi 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):
Let u be the speed of the plane in still air and v be the jetstream speed.
Then
u - v = = 561 (1)
is the equation for the plane' speed traveling against a jetstream.
u + v = = 671 (2)
is the equation for the jet speed traveling with a jetstream.
To find u from these equations, add them. You will find
2u = 561 + 671 = 1232 ========> u = 1232/2 = 616 miles per hour is the plane speed in still air. ANSWER
Then from (2) v = 671 - 616 = 55 miles per hour is the jetstream speed. ANSWER
Solved.
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It is a typical "tailwind and headwind" word problem.
