(g + 4) / (g - 2) = ( g - 5) (g- 8)
Cross-multiply
(g + 4) (g - 8) = (g - 2) (g - 5)
g^2 - 4g - 32 = g^2 - 7g + 10 subtract g^2 from both sides
-4g - 32 = -7g + 10 add 32 , 7g to both sides
3g = 42 divide both sides by 3
g = 14
11. Distance / Rate = Time
Equating times, we have
6 4
____ = ______ cross-multiply
R + 3 R
6R = 4(R + 3)
6R = 4R + 12
2R = 12
R = 6 mi/h = upstream rate
R + 3 = 6 + 3 = 9 mi / h = downstream rate