Question

Downers grove has gotten 5 inches of snow and the snow depth is increasing by 6 inches every hour. Woodridge has gotten 13 inches of snow and is increasing 2 inches every hour. In how many hours will the snowfall of the towns be equal.

Answer 1

2 hours

Explanation:

Downers grove = 5 inches of snow + 6 inches every hour

= 5 + 6h

Woodridge = 13 inches + 2 inches every hour

= 13 + 2h

Where,

h = number of hours

In how many hours will the snowfall of the towns be equal?

Equate the snow falls of the towns

Downers grove = Woodridge

5 + 6h = 13 + 2h

Collect like terms

5 - 13 = 2h - 6h

8 = 4h

Divide both sides by 4

h = 8 / 4

= 2

h = 2 hours

The snowfall of the towns will be equal in 2 hours