Question

Sarah Is on page 30 of her book and reads 3 pages every night. Kate is on page 40 of the same book and reads 2 pages every night. How long will it take Sarah to be at the same point in the book as Kate?

Answer 1

Sarah will take 10 nights to be at the same point in the book as Kate.

Step-by-step explanation:

To find out how long it will take for Sarah to be at the same point in the book as Kate, we need to determine the difference in the pages they are currently on. Sarah is on page 30 and reads 3 pages every night, while Kate is on page 40 and reads 2 pages every night. The difference in their current positions is 40 - 30 = 10 pages. Since Sarah reads 3 pages every night and Kate reads 2 pages every night, the difference of 1 page between them decreases by 1 every night. So, it will take 10 nights for Sarah to catch up to Kate and be at the same point in the book.

Answer 2

Therefore, it will take Sarah 10 nights to be at the same point in the book as Kate.

To find out how long it will take Sarah to be at the same point in the book as Kate, we need to determine the number of nights it will take for Sarah to catch up.

Sarah is on page 30 and reads 3 pages every night. Kate is on page 40 and reads 2 pages every night.

To find out how many nights it will take for Sarah to catch up to Kate, we can set up an equation:

30 + 3x = 40 + 2x

In this equation, x represents the number of nights it will take for Sarah to catch up.

By solving this equation, we can find the value of x:

30 + 3x = 40 + 2x

Subtracting 2x from both sides of the equation:

30 + x = 40

Subtracting 30 from both sides of the equation:

x = 10

Therefore, it will take Sarah 10 nights to be at the same point in the book as Kate.