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? check all that apply.

a = 8

b = 8

a = 1

b = 1

a = b

a=8 and b=1

Step-by-step explanation:

Given : 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.

and

To find : Which are true?

Solution :

If x represents the paddling speed, and y represents the speed of the current.

The relative speed in upstream is x-y

Relative time in downstream= x+y

A kayaker, paddles 8 miles upstream (against the current) in 2 hours.

Comparing with

We get, a=8

Returning to her original location, she paddles downstream (with the current) the same distance in 1 hour.

Comparing with

We get, b=1

Thus, a=8 and b=1

Therefore, Option 1 and 4 is correct.

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