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The rate of the boat in still water and rate of the wind

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19. A boat travels 60 km upstream (against the current) in 5 hours. The boat travels the same distance downstream in 3 hours. What is the rate of the boat in still water?

20. A duck can fly 2400 m in 10 minutes with the wind. Against the wind, it can fly only 2/3 of this distance in 10 minutes. What is the rate of the wind?

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Solution Summary

It shows how to determine the rate compared to other things (boat in a river, ducks with the wind) by setting up and solving the systems of linear equations. The solution is detailed and well presented.

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19. A boat travels 60 km upstream (against the current) in 5 hours. The boat travels the same distance downstream in 3 hours. What is the rate of the boat in still water?
Let x be the rate of the boat in still water, and y be the speed of water ...

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