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------------------------------------------------ 5. If you are 500,000,000 seconds old, how old are you in years, days, hours, minutes, and seconds? Assume one year is 365 days.

6. An airplane departs from Port Elizabeth at [time not provided].

Answer :

To determine how old you are in years, days, hours, minutes, and seconds if you are 500,000,000 seconds old, follow these steps:

1. Understanding the Time Units:
- 1 minute = 60 seconds
- 1 hour = 60 minutes = 3,600 seconds
- 1 day = 24 hours = 86,400 seconds
- 1 year = 365 days = 31,536,000 seconds

2. Calculate the Number of Years:
- Divide the total seconds by the number of seconds in a year to find out how many complete years have passed:
- [tex]\( \text{Years} = \frac{500,000,000}{31,536,000} \)[/tex]
- This gives 15 full years.

3. Find Remaining Seconds After Years:
- Calculate the remaining seconds after accounting for complete years:
- [tex]\( 500,000,000 \mod 31,536,000 = 9,750,000 \)[/tex] seconds remain.

4. Calculate the Number of Days:
- Divide the remaining seconds by the number of seconds in a day to find out how many full days are left:
- [tex]\( \text{Days} = \frac{9,750,000}{86,400} \)[/tex]
- This gives 312 days.

5. Find Remaining Seconds After Days:
- Calculate the remaining seconds after accounting for days:
- [tex]\( 9,750,000 \mod 86,400 = 3,200 \)[/tex] seconds remain.

6. Calculate the Number of Hours:
- Divide the remaining seconds by the number of seconds in an hour:
- [tex]\( \text{Hours} = \frac{3,200}{3,600} \)[/tex]
- This gives 0 hours.

7. Find Remaining Seconds After Hours:
- Calculate the remaining seconds after accounting for hours:
- [tex]\( 3,200 \mod 3,600 = 3,200 \)[/tex] seconds remain.

8. Calculate the Number of Minutes:
- Divide the remaining seconds by the number of seconds in a minute:
- [tex]\( \text{Minutes} = \frac{3,200}{60} \)[/tex]
- This gives 53 minutes.

9. Find Remaining Seconds After Minutes:
- Calculate the remaining seconds after accounting for minutes:
- [tex]\( 3,200 \mod 60 = 20 \)[/tex] seconds remain.

Final Result:

- You are 15 years, 312 days, 0 hours, 53 minutes, and 20 seconds old.