If Ms. Johnson wrote 91 digits in 1 minute, how long would it take Ms. Johnson to write from 1 to 1,000,000 if she works on the project for 8 hours per day?

You want to know the time it takes Ms. Johnson to write the numbers from 1 to 1000000 if she writes 91 digits per minute for 8 hours each day.

Digits

There are 9 digits from 1–9. There are 180 digits from 10–99. There are 2700 digits from 100–999, and so on. In all, the numbers 1–1,000,000 have a total of 5,888,896 digits.

Time

At 91 digits per minute, it will take 5,888,896/91 = 64713 1/7 minutes to write the numbers. There are 60 minutes in each hour, so that is 1078 hours 33 1/7 minutes.

At 8 hours per day, that is 134 days 6 hours.

In all, it will take Ms. Johnson 134 days 6 hours 33 1/7 minutes to write the numbers 1 to 1 million.

If Ms. Johnson wrote 91 digits in 1 minute, how long would it take Ms. Johnson to write from 1 to 1,000,000 if she works on the project for 8 hours per day? ​

Respuesta :

Digits

Time

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If Ms. Johnson wrote 91 digits in 1 minute, how long would it take Ms. Johnson to write from 1 to 1,000,000 if she works on the project for 8 hours per day?