Randall enjoys canoeing. The time it takes for his canoe to go 3 miles upstream and back 3 miles downstream in a lake is 4 hours. The current of the lake is 1 miles per hour. Which equation can Randall use to determine the average speed of the canoe in still water?

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raphealnwobi raphealnwobi · Answer 1 · 2022-03-02T09:37:49+01:00

The equation used to find the average speed is (a - 1)t₁ = 3, (a + 1)t₂ = 3 and t₁ + t₂ = 4.

Speed is the ratio of total distance travelled to total time taken. It is given by:

Speed = distance / time

Let t₁ represent the time upstream and t₂ the time downstream while a represent the average speed of the canoe in still water.

Hence:

t₁ + t₂ = 4 (1)

Also:

(a - 1)t₁ = 3 (2)

(a + 1)t₂ = 3 (3)

The equation used to find the average speed is (a - 1)t₁ = 3, (a + 1)t₂ = 3 and t₁ + t₂ = 4.

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