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.
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Answer:
a = 8
b = 1
Step-by-step explanation:
x = paddling Speed
y = Speed of current
Speed during upstream = x - y
Speed during downstream = x + y
Distance = 8 Miles
time during upstream = 2 hrs
Time during downstream = 1 hr
Distance = Speed * time
8 = (x -y) * 2
=> 2(x - y) = 8
comparing with 2(x – y) = a
=> a = 8
(x + y ) * 1 = 8
comparing with b(x + y) = 8
b = 1
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