A kayaker paddles 2 km upstream in the same time that it takes to paddle 3 km downstream. The average speed of the current is 1 km/h. What is the average speed of the kayak in still water?I need the work as well pleasee!!

Answers

Answer 1

Answer:

Let x represent speed of kayak in the still water.

We have been given that a kayaker paddles 2 km upstream in the same time that it takes to paddle 3 km downstream. The average speed of the current is 1 km/h.

Speed of kayak upstream would be speed of kayak in still water minus speed of the current that is $x-1$ .

Speed of kayak downstream would be speed of kayak in still water plus speed of the current that is $x+1$ .

$\text{Time}=\frac{\text{Distance}}{\text{Speed}}$

Time taken to travel 2 km upstream would be $(2)/(x-1)$ .

Time taken to travel 3 km upstream would be $(3)/(x+1)$ .

Since both times are equal, so we can equate both expressions as:

$(3)/(x+1)=(2)/(x-1)$

Cross multiply:

$3(x-1)=2(x+1)$

$3x-3=2x+2$

$3x-2x-3=2x-2x+2$

$x-3=2$

$x-3+3=2+3$

$x=5$

Therefore, the average speed of Kayak in still water is 5 km per hour.

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Answers

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Answers

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Answers

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