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!!

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 .

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

Time taken to travel 2 km upstream would be .

Time taken to travel 3 km upstream would be .

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

Cross multiply:

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

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x

b if for most of the graph

d if y intercept

step-by-step explanation: