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?

Respuesta :

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