A Billion SecondsDate: 10/21/96 at 12:47:59 From: Anonymous Subject: When a Billion Seconds If I was born on 01/02/84, on what day and what year, month will I have been alive for a billion seconds? Date: 10/22/96 at 10:52:8 From: Doctor Ken Subject: Re: When a Billion Seconds Hi Alvina - To solve this kind of problem, you need to first figure out how many seconds there are in an hour, in a day, in a week, in a year, and so on. To really do this problem right, you'd have to take into account leap years (which can get pretty complicated - they don't just happen every 4 years; there are some other rules that they follow) and leap seconds (yup - they happen!). But in this solution, I'm not going to take these factors into account, so that you can see the general strategy behind how you'd solve this problem. Okay, here we go! There are 60 seconds in a minute, and 60 minutes in an hour. So there are 60 x 60 seconds in an hour, in other words 3600 seconds in an hour. Furthermore, there are 24 hours in a day, so there are 24 x 3600 seconds = 86400 seconds in a day. Also, there are 365 days in a year, so there are 365 x 86400 seconds = 31,536,000 seconds in a year. Let's summarize this in a table: 1 hour = 3600 seconds 1 day = 86400 seconds 1 year = 31,536,000 seconds So how many years does it take to reach 1,000,000,000 seconds? Well, 31 x 31,536,000 = 977,616,000 and 32 x 31,536,000 = 1,009,152,000. So 31 years is not enough, and 32 years is too much. Looks like it's going to be 31 years plus a little bit. How much? Well, 1,000,000,000 - 977,616,000 = 22,384,000. So we need to figure out how many months and days that is. I'll leave this part of the problem for you to figure out - it can be a little tricky to figure out how many seconds are in each month, but you can use the figure we found above, the number of seconds in a day, to figure this out. Good luck! -Doctor Ken, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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