Read a 100-page book, nine pages a day, starting on August 22nd. Can he finish the book by September 1st?Read a 100-page book, nine pages a day, starting on August 22nd. Can he finish the book before school starts on September 1st?
It was difficult to guarantee that he could finish reading the book before school started on September 1st because reading only nine pages a day was relatively slow. It would take a few days to finish reading the book, depending on the reading speed and time.
If one could read nine pages a day and maintain a high efficiency reading habit, it would take about 10-15 days to finish the book before school started. Of course, this was only a rough estimate. The exact time needed to be calculated according to the actual situation.
A 600-page storybook. Nono would read 28 pages a day. Could he finish it in 19 days?Reading 28 pages a day in 19 days can finish a 600-page storybook, but you need to pay attention to the following points:
1 The total number of pages in a storybook is 600, and reading 28 pages a day is actually only 28/2 = 14 days to finish reading each page. Therefore, he needed to divide 19 days by 14 days to determine the total number of pages he could read. The answer was that they could finish reading it, but they needed more time.
If you read 28 pages a day, you would need 14 days to finish the story book. If Nono only reads 1 page in the remaining 14 days, she will not be able to finish the storybook. Therefore, Nono had to ensure that he could read a certain number of pages every day to ensure that he could read the entire story book.
Reading 28 pages a day would take 14 days to finish a 600-page storybook. In the remaining 14 days, he had to ensure that he could read a certain number of pages every day in order to read the storybook completely.
A 600-page book. Every day, he would read one more page than the day before, and he would finish it in 16 days. How many pages did you read on the last day?If the number of pages of the book is x, then the first day is x/page, the second day is (x/page)/2, and so on, the 15th day is (x/page)/16.
Because I read one more page every day than the day before, the number of pages I read in 16 days can be expressed as:
(x/page)/16 + (x/page)/17 + (x/page)/18 + + (x/page)/15
This is a geometric sequence and the sum is x/page. Therefore, the common ratio of this exponential series is 16, and the first term is x/page.
By replacing x/page with the first term of this exponential sequence, we get:
(x/page)/16 + (x/page)/17 + (x/page)/18 + + (x/page)/15 = x/page
To simplify it:
(16x/15)/16 = x
Solution:
x = 600
Therefore, the book had 600 pages.