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A town has accumulated 4in of snow and the snow depth is increasing by 6in every hour a nearby town has accumulated 8in and the depth is increasing by 2in every hour in about how many hours will the snowfall of the towns be equal

asked
User Sekou
by
7.9k points

1 Answer

3 votes
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! :)
answered
User Jschmier
by
9.2k points
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