Answered

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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

Sagot :

kittymaniac
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! :)
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