To determine how far the average sneeze can travel in one minute, given that it can travel [tex]\(\frac{3}{100}\)[/tex] miles in 3 seconds, follow these steps:
1. Convert the distance traveled in 3 seconds into a per second rate:
The sneeze travels [tex]\(\frac{3}{100}\)[/tex] miles in 3 seconds. Therefore, the distance traveled per second is:
[tex]\[
\text{Distance per second} = \frac{\frac{3}{100} \text{ miles}}{3 \text{ seconds}} = \frac{3}{100} \div 3 = \frac{3}{100} \times \frac{1}{3} = \frac{1}{100} \text{ miles per second}
\][/tex]
2. Calculate the number of seconds in one minute:
Since one minute is equivalent to 60 seconds, we use this conversion to find the distance traveled in one minute.
3. Calculate the distance traveled in one minute:
Multiply the distance traveled per second by the number of seconds in one minute:
[tex]\[
\text{Distance in one minute} = \frac{1}{100} \text{ miles per second} \times 60 \text{ seconds}
\][/tex]
Simplifying the multiplication:
[tex]\[
\text{Distance in one minute} = \frac{1 \times 60}{100} = \frac{60}{100} = 0.6 \text{ miles}
\][/tex]
Therefore, at a rate of [tex]\(\frac{3}{100}\)[/tex] miles in 3 seconds, the sneeze can travel 0.6 miles in one minute.
