Final answer:
To determine how many days Rachel needs to type 1,000,000 words at a rate of 85 words per minute for 6 hours each day, we calculate her words per hour, then words per day, and divide the total words needed by the daily output, resulting in approximately 33 days.
Step-by-step explanation:
The question involves calculating the number of days Rachel needs to type 1,000,000 words, given she types at a rate of 85 words per minute and works 6 hours per day. First, we need to find the total words she can type in one hour by multiplying the number of words she types per minute by 60 (the number of minutes in an hour):
85 words/minute × 60 minutes/hour = 5,100 words/hour
Next, we'll calculate how many words Rachel can type in one day:
5,100 words/hour × 6 hours/day = 30,600 words/day
Finally, we'll divide the total number of words she needs to type by the number of words she can type in a day to find the number of days:
1,000,000 words ÷ 30,600 words/day ≈ 32.68 days
Since she can't work a fraction of a day, we'll round up to the nearest whole number. Therefore, Rachel will need approximately 33 days to type 1,000,000 words if she types for 6 hours each day.