Variables-
of hours: h
Overall snow depth: S
Town 1: S₁ = 4 + 6h Town 2: S₂ = 8 + 2h
To find when S₁ and S₂ are equal, set them equal to each other!
S₁ = S₂ 4 + 6h = 8 + 2h 4 + 6h - 2h = 8 + 2h - 2h 4h + 4 = 8 4h + 4 - 4 = 8 - 4 4h = 4 4h / 4 = 4 / 4 h = 1
After 1 hour, they will both have the same depth of snow. Hope this helps! :)
The snowfall in both towns will be equal after 1 hour. After this time, both will have a depth of 10 inches of snow. This is found by solving the equations for each town's snowfall rate.
;
35/6 x 132 = 35 x 22 = 770
[tex] \frac{35}{6} \times 132 \\ \\ = \frac{35 \times 132}{6} \\ \\ = \frac{4620}{6} = 770[/tex]