Amotorboat can go 8 miles downstream on a river in 20 minutes. it takes 30 minutes for the boat to go upstream the same 8 miles. find the speed of the current.

4 mph

Step-by-step explanation:

Let's say m is the speed of the motor boat, and r is the speed of the river.

20 minutes is 1/3 hour, and 30 minutes is 1/2 hour.

Distance = rate × time

8 = (m + r) × 1/3

8 = (m − r) × 1/2

We want to find the value of r.  Let's start by solving for m in one equation, then substitute into the other.

8 = (m − r) × 1/2

16 = m − r

m = r + 16

8 = (m + r) × 1/3

8 = (r + 16 + r) × 1/3

8 = (2r + 16) × 1/3

24 = 2r + 16

8 = 2r

r = 4

The speed of the river's current is 4 miles per hour.

a. (14,375+570)(5.3) b. 158,417$

step-by-step explanation:

a. you are basically just setting up the equation. f= amount of debt hence 14,375. g= how much she is borrowing from her parents weekly hence 570 and t= the interest on her debt. creating the equation.

b.   14,375+570= 14,945

      14,945 x 5.3 = 79,208.5

      79,208.5 x 2(years) = 158,417(answer)