Linda and Colleen both leave the library at the same time, but in opposite direction. If Colleen travels 8mph faster than Linda and after 8 hours they are 176 miles apart, how fast is each traveling?

X - Linda's speed

(x+8) - Colleen's speed

8x - Linda's distance for 8 h

8 (x+8) = 8x+64 - Colleen's distance for 8 h

8x + 8x + 64 = 176 - distance between Colleen and Linda after 8 h

8x + 8x + 64 = 176

16x + 64 = 176

16x = 176 - 64

16x = 112

x = 7 mph Linda's speed

x+8 = 7+8 = 15 mph Colleen's speed