how long will it take to spend 1 billion pesos if you spend 1 peso per second
The correct answer and explanation is:
To calculate how long it would take to spend 1 billion pesos at a rate of 1 peso per second, follow this process:
- Determine the number of seconds in a year:
- A year has 365 days, and each day has 24 hours. Multiply these to find the total number of hours: $$
365 \, \text{days/year} \times 24 \, \text{hours/day} = 8,760 \, \text{hours/year}
$$ - Each hour has 60 minutes, and each minute has 60 seconds. Multiply to find the number of seconds in an hour: $$
60 \, \text{minutes/hour} \times 60 \, \text{seconds/minute} = 3,600 \, \text{seconds/hour}
$$ - Multiply the number of seconds per hour by the number of hours in a year to get the number of seconds in a year: $$
8,760 \, \text{hours/year} \times 3,600 \, \text{seconds/hour} = 31,536,000 \, \text{seconds/year}
$$
- Determine how many years it takes to spend 1 billion pesos:
- Since you spend 1 peso per second, you would spend 1 billion pesos in the same number of seconds: $$
1,000,000,000 \, \text{pesos} \div 31,536,000 \, \text{seconds/year} \approx 31.7 \, \text{years}
$$
Therefore, it would take about 31 years and 8 months to spend 1 billion pesos if you spent 1 peso per second.
Explanation:
The key calculation is the number of seconds in a year, which amounts to 31.5 million seconds. By dividing 1 billion pesos by the number of seconds in a year, you get the number of years it would take to spend that amount. This scenario emphasizes the scale of large numbers and the relative pace of spending over time. If you were to spend 1 peso every second, you would see how even a seemingly massive amount like 1 billion pesos could take several decades to exhaust.