In colorado creek, darrell can row 24 km downstream in 6 hours or he can row 18 km upstream in the same amount of time. find the rate he rows in still water and the rate of the current

To answer this item, we let x and y be the rate of the boat in still water and current, respectively. The distance traveled by the object is equal to the product of the speed and the time. 

Upstream: 

             D = (x + y)(6)
             24 = 6x + 6y
             4 = x + y

Downstream:

               D = (x - y)(6)
              18 = 6x - 6y
               3 = x - y

The values of x and y are 3.5km/h and 0.5 km/h, respectively.

Answers: 

Rate in Still water = 3.5 km/h
Rate of the current = 0.5 km/h