Question

Iker rowed 12 miles downstream in 1.5 hours. the trip back upstream however took him three hours find the rate that iker rose in stillwater and the right of the current

Answer 1

Step-by-step explanation:

x = speed in stillwater

y = speed of current

remember, speed = distance/time period.

Iker's speed downstream was

12/1.5 mph = x + y

Iker's speed upstream was

12/3 mph = x - y

so, we have the simplified equations

8 = x + y

4 = x - y

now, as one of the variables (y) is of the same quantity but with opposite signs we can simply add the equations and get

8 = x + y

4 = x - y

---------------

12 = 2x + 0y

12 = 2x

x = 12/2 = 6 mph

from e.g.

8 = x + y

we get then

8 = 6 + y

y = 2 mph

Iker rows in stillwater 6 mph, and the current is 2 mph.