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Let's say it takes about 5 seconds to count to ten out loud. How many years will it take to count out loud to a billion? Ignore leap years and round your answer to one decimal place.

 May 22, 2017
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15.9 years. Crazy, isn't it?

 

These type of questions are best answered with proportions:

 

\(\frac{5secs}{10}=\frac{xsecs}{1000000000}\)

 

Cross multiply and solve:

 

\(5000000000=10x\)

\(x=500000000secs\) (5 hundred million seconds)

 

Now, let's use another proportion to solve for how many years:
 

\(\frac{31536000secs}{1yr}=\frac{500000000}{xyr}\)'

 

Cross multiply and solve again:

 

\(31536000x=500000000\)

\(x=\frac{500000000}{31536000}\approx15.9years!\)

 

That's insane! Almost 16 years!

 May 22, 2017

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