Questions: 5. A snowstorm dumped 18 inches of snow in a 12hour period. If the rate of inches of snow per hour continued, how many inches of snow would have fallen after 42 hours?
Transcript text: 5. A snowstorm dumped 18 inches of snow in a 12hour period. If the rate of inches of snow per hour continued, how many inches of snow would have fallen after 42 hours?
Solution
Solution Steps
To find out how many inches of snow would have fallen after 42 hours, we first need to determine the rate of snowfall per hour. This can be done by dividing the total inches of snow by the number of hours it took to fall. Once we have the rate, we can multiply it by 42 hours to find the total snowfall over that period.
Step 1: Calculate the Rate of Snowfall
The rate of snowfall per hour can be calculated using the formula:
\[
\text{Rate} = \frac{\text{Total Snow}}{\text{Total Hours}} = \frac{18 \text{ inches}}{12 \text{ hours}} = 1.5 \text{ inches per hour}
\]
Step 2: Calculate Total Snowfall After 42 Hours
To find the total snowfall after 42 hours, we use the rate calculated in Step 1:
\[
\text{Total Snow After 42 Hours} = \text{Rate} \times \text{Hours} = 1.5 \text{ inches/hour} \times 42 \text{ hours} = 63.0 \text{ inches}
\]
Final Answer
The total snowfall after 42 hours is \\(\boxed{63.0}\\) inches.