Answered

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

Verified Answer :

Answer:

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.

\(2(x - y) = a\) and \(b(x + y) = 8\)

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.

\(\text{Distance}=\text{Speed} \times \text{Time}\)

\(8=(x-y)\times 2\)

Comparing with \(2(x - y) = a\)

We get, a=8

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

\(\text{Distance}=\text{Speed} \times \text{Time}\)

\(8=(x+y)\times 1\)

Comparing with \(b(x + y) = 8\)

We get, b=1

Thus, a=8 and b=1

Therefore, Option 1 and 4 is correct.

Answer:

A d

Step-by-step explanation:

Related Questions