Sun, a kayaker, paddles 8 miles upstream (against the current) in 2 hours. Returning to her original location, she paddles downstream (with the current) the same distance in 1 hour. The equations represent x, the paddling speed, and y, the speed of the current. 2(x – y) = a b(x + y) = 8 Which are true? Select two options. a = 8 b = 8 a = 1 b = 1 a = b

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Answer:

A- a = 8

D- b = 1

Step-by-step explanation:

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The speed of the current is 2 miles per hour, and the speed of the kayak in still water is 6 miles per hour.

Given that Sun, a kayaker, paddles 8 miles upstream (against the current) in 2 hours, while returning to her original location, she paddles downstream (with the current) the same distance in 1 hour, to determine her speed and the speed of the current, the following calculations must be made:

  • Upstream = 4 miles per hour
  • Downstream = 8 miles per hour  
  • (8 - 4) / 2 = X
  • 4 / 2 = X
  • 2 = X

Therefore, the speed of the current is 2 miles per hour, and the speed of the kayak in still water is 6 miles per hour.

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