Question

If the snow is falling at a rate of 1 inches per hour, how many hours will it take to snow 12 inches?

Answer 1

Imagine the following, we will place a tube under the snow. So we have the following

After one hour, the tube will be filled with 1 inch of snow.

After 2 hours, we will have one inch more

So, one way to calculate the amount of snow after a specific amount of hours, is simply multiplying the hours by the rate at which the height of the snow changes. IN here, the height changes 1 inch per hour. So after x hours the height of the snow would be

`1\cdot\text{ x }`

We want to find x, such that the height of the snow is 12.

So we have the equation

`1\cdot x\text{ = 12}`

which gives us that in 12 hours we will have 12 inches of snow.