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Math  /  Algebra

QuestionLydia is reading a 400 page book. She reads the first 40 pages in 4 days.
If Lydia continues to read at the same rate, how long will it take her to finish the book? Solve on scrap paper first if you need to. It will take Lydia □\square days to finish the book.

Studdy Solution

STEP 1

1. Lydia is reading a 400-page book.
2. She reads the first 40 pages in 4 days.
3. Lydia continues to read at the same rate.
4. We need to find out how many days it will take Lydia to finish the entire book.

STEP 2

1. Determine Lydia's reading rate in pages per day.
2. Calculate the total time needed to read the entire book using her reading rate.

STEP 3

Determine Lydia's reading rate in pages per day.
Given that Lydia reads 40 pages in 4 days, we calculate her reading rate as follows:
Reading rate=40 pages4 days=10 pages per day \text{Reading rate} = \frac{40 \text{ pages}}{4 \text{ days}} = 10 \text{ pages per day}

STEP 4

Calculate the total time needed to read the entire book using her reading rate.
Since the book has 400 pages and Lydia reads at a rate of 10 pages per day, we find the total number of days required:
Total days=400 pages10 pages per day=40 days \text{Total days} = \frac{400 \text{ pages}}{10 \text{ pages per day}} = 40 \text{ days}
It will take Lydia 40 \boxed{40} days to finish the book.

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