Question

You looked out the window, and there was no snow. but 3 hours later, there was 8 inches of fluffy snow. if it keeps snowing at the same rate, how long until there is 2 ft of snow?

Answer 1

Based on the rate of snowfall (2.67 inches/hour), it would take 6 more hours for the snow to accumulate to a depth of 2 feet.

Step-by-step explanation:

It would take 6 more hours for the snow to reach a depth of 2 feet at the same rate of snowfall. Since it took 3 hours for 8 inches of snow to accumulate, we can find the rate of snowfall by dividing the total inches of snow by the total time. So the snowfall rate is 8 inches / 3 hours = 2.67 inches per hour. To calculate how long it will take to reach 2 feet, we need to know the total inches for 2 feet, which is 24 inches (since 1 foot = 12 inches).

We then divide the total desired snow depth by the rate of snowfall to find the time: 24 inches / 2.67 inches per hour = 9 hours. Since 3 hours have already passed, we subtract 3 from 9 to find that it would take an additional 6 hours to reach a depth of 2 feet. We have the proportion: (2/3) / 3 = 2 / x. Cross-multiplying gives us (2/3) * x = 6. Solving for x, we find that it will take 6 / (2/3) = 9 hours to accumulate 2 feet of snow.