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Chapter 1: Problem 42

Imagine that you counted 60 numbers per minute and continued to count nonstop until you reached one million. Determine a reasonable estimate of the number of days it would take you to complete the counting.

Short Answer

Expert verified
It would take approximately 12 days to count to one million at a rate of 60 numbers per minute.

Step by step solution

01

Calculate the total minutes needed

Since it's one million numbers to count and each minute we finish 60 numbers, we will find the total number of minutes it takes by dividing one million (the total number of numbers) by 60 (the numbers per minute). So, it's \( \frac{1,000,000}{60} = 16,666.67 \) minutes needed approximately.
02

Convert minutes to hours

There are 60 minutes in an hour. Therefore, divide the total minutes (16,666.67) by 60 to get the total hours needed. \( \frac{16,666.67}{60} = 277.78 \) hours approximately
03

Convert hours to days

There are 24 hours in a day. We convert the total hours (277.78) needed to days by dividing it by 24. \( \frac{277.78}{24} = 11.57 \) days approximately.

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