Question 1181372
Gabrielle rows a boat downstream for 192 miles.


 The return trip upstream took 8 hours longer. 


If the current flows at 2 mph, 

 Gabrielle speed in still water = x mph

downspeed speed =(x+2) mph
upstream speed = (x-2) mph 
distance =192 miles
Time upstream - time downstream = 8

t=d/s

192/(x-2)- 192/(x+2) = 8

Simplify

Multiply the equation by (x+2)(x-2)

192(x+2) - 192(x-2) = 8(x+2)(x-2)

192x + 384 -192x +384 = 8x^2-32

8x^2=768+32

8x^2 = 800
x^2 = 100
x= 10 mph

Gabrielle speed in still water is 10 mph