SOLUTION: Flying against the jetstream, a jet travels 5220 miles in 9 hours. Flying with the jetstream, the same jet travels 6120 miles in 6 hours. What is the rate of the jet in still air a
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-> SOLUTION: Flying against the jetstream, a jet travels 5220 miles in 9 hours. Flying with the jetstream, the same jet travels 6120 miles in 6 hours. What is the rate of the jet in still air a
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Question 1170057: Flying against the jetstream, a jet travels 5220 miles in 9 hours. Flying with the jetstream, the same jet travels 6120 miles in 6 hours. What is the rate of the jet in still air and what is the rate of the jetstream? Found 2 solutions by greenestamps, ikleyn:Answer by greenestamps(13200) (Show Source):
(1) Find the speed A with the jet stream by dividing distance by time; find the speed B against the jet stream the same way.
(2) The speed A is the speed of the plane plus the speed of the jet stream; the speed B is the speed of the plane minus the speed of the jet stream. That means the speed of the plane is the average of A and B (i.e., halfway between A and B); and then the speed of the jet stream is the difference between the speed of the plane and either A or B.
An example, in case the words are hard to follow:
speed with the jet stream: A = 400
speed against the jet stream: B = 320
speed of plane: halfway between A and B: 360
speed of jet stream: difference between 360 and either A or B: 400-360 = 40, or 360-320 = 40
