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Question

A goldfish can swim 0.5 meters per second in still water. In the same amount of time it takes the goldfish to swim 15 meters with the current, it can swim 5 meters against the current. What is the rate of the current? How long does it take the goldfish to swim 5 meters upstream?

Answer 1

distance = rate×time

Let w be the water current rate

(0.5 + w)t = 15

(0.5 -w)t = 5

-------------------- Add the two equations to get the time, t.

t = 20 seconds

0.5(20) + 20w = 15

10 + 20w = 15

20w = 5

w = 0.25 meters per second

The water current rate is 0.25 meters per second and it takes 20 seconds for the goldfish to swim 5 meters upstream against the current.

Answer 2

t = d / r

t_with = 15 / (0.5 + c)

t_against = 5 / (0.5 - c)

The two times are equal

15 / (0.5 + c) = 5 / (0.5 - c)

Can you solve for c and answer?