Suppose a person were to breath an average of 16 times per minute.
How many years would it take for them to breath one billion times? Assume there are 365 days in one year. Round your answer to the nearest single year.
If b is breaths, then
10^9 b * 1min/16b * 1day/1440min * 1yr/365day = 118.9 years
This makes sense, since 1 billion seconds is about 30 years.
To calculate the number of years it would take for a person to breathe one billion times, we need to break down the problem into several steps:
Step 1: Determine how many breaths the person takes in one hour.
We know the person breathes an average of 16 times per minute. Since there are 60 minutes in an hour, we can calculate the number of breaths per hour by multiplying 16 by 60:
16 breaths/minute * 60 minutes/hour = 960 breaths/hour
Step 2: Calculate the number of breaths the person takes in one day.
Since there are 24 hours in a day, we multiply the number of breaths per hour by 24:
960 breaths/hour * 24 hours/day = 23,040 breaths/day
Step 3: Calculate the number of breaths the person takes in one year.
Since there are 365 days in a year, we multiply the number of breaths per day by 365:
23,040 breaths/day * 365 days/year = 8,409,600 breaths/year
Step 4: Divide one billion by the number of breaths per year to find the number of years.
1,000,000,000 breaths / 8,409,600 breaths/year ≈ 118.95 years
Rounding to the nearest single year, we can conclude that it would take approximately 119 years for a person to breathe one billion times.