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.
Xiao Wang reads a 500-page novel. He reads 1 page more every day than the day before. He pretends to finish reading the book in 15 days. How much did he read on the last day?
Xiao Wang reads a 500-page novel. He reads 1 page more every day than the day before for 15 days. How many pages did he read on the last day? Reading an extra page every day meant that Little Wang could read 500 pages + 1 page = 501 pages every day. He read for a total of 15 days, so the total number of pages Little Wang read was 500 pages x 15 days = 7500 pages. The number of pages he read on the last day was 7500 - 501 = 7099.
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.
Li Ming was reading a 225-page novel. For the first five days, he would read 24 pages a day, and then 35 pages a day. How many more days would he need to finish this novel?
Li Ming read a 225-page novel. For the first five days, he read 24 pages a day and then 35 pages a day. The calculation is: 100 pages in the first 5 days, the remaining pages are 225-100=125 pages. Reading 24 pages a day required 125/24=5 days. Reading 35 pages a day required 125/35=4 days. Therefore, Li Ming needed 5+4=9 days to finish reading this novel.
If Xiao Ming read 35 pages a day, he would finish the book one day later than the stipulated date. If he read 40 pages a day, he would have to read 5 pages less on the last day.
Xiaoming reads a novel. If he reads 35 pages a day, he will finish the book one day later than the stipulated date. If he reads 40 pages a day, he will read 5 pages less on the last day. Based on this information, we can formulate the following equation: Let the total number of pages in the novel be x Xiaoming reads x/35 days, that is, he reads x/35 pages every day. Because Xiao Ming needed to finish reading the entire book, he needed to meet the following two conditions: Xiaoming finished reading the novel before the stipulated date 2 Xiao Ming reads 35 pages a day, so the total number of pages read is 35x/12 days Therefore, we can write the following equation: x/35 = (x/12) - 1 Solve the equation: x = 35x/12 + 1 = 40 Therefore, Xiao Ming needed to read 40 pages to finish the novel. He needed to read 40/35=8/17 days before the specified date. However, because reading 40 pages a day is slower than reading 35 pages, the actual time he needs will be longer than 8/17 days, that is, he will need 16/17 days to finish reading the novel.
He had to read 12 pages a day, which would take him 15 days to finish. If he finished the book five days earlier, how many pages would he read every day?
It would take 15 days to finish reading 12 pages a day. How many pages would you read if you finished the book five days in advance? If the book has 100 pages and you read 12 pages a day, the number of days it takes to read the whole book is: 100 pages/12 pages/day = 866 days Because the book needed 15 days to finish, it clearly needed 15-866=634 days. In these 634 days, he had to read 12 pages a day to finish the book five days earlier. Therefore, if you finish this book five days in advance, how many pages do you read every day: 12 pages/day x 634 days = 792 pages Therefore, he had to read 792 pages a day to finish the book five days earlier.
Ding Ding read a book. On the first day, he would read 15 pages. After that, he would read five more pages every day than the previous day. After five days, he would finish reading. How many pages does this book have?
Assuming that the book has x pages: 15 pages on the first day, so there are 15 pages in the book From now on, I'll read five more pages every day than the day before, so after five days, I'll read (15+5)×5=125 pages, plus the 15 pages I've already read before, that's a total of 270 pages Therefore, the book had a total of 270 pages.
Xiao Ya planned to finish reading a book in 20 days and read 15 pages a day. If he read five more pages a day, how many days would he be able to finish it?
If he read five more pages per day, the total number of pages per day would be 15 * 5/5 = 30 pages. The total number of pages that Xiao Ya needed to read in 20 days was 30 * 20 = 600 pages. If you read 15 pages a day, the total number of pages you need to read is 600 * 15/15 = 600 pages. Therefore, if you read five more pages a day, you can finish the book faster. The answer was: Ya-chan could finish the book in 15 days. She could read five more pages a day, and a total of 30 more pages, so she only needed 20-15=5 days to finish it.
Li Xiaolin was reading a storybook. If he read 12 pages a day, he would finish it in 15 days. If he had to finish it in 10 days, how many pages should he read on average every day?
If you can finish a storybook by reading 12 pages a day and 15 days, then the average number of pages in this storybook is: 15 days/ 12 pages/day = 15 pages/day Therefore, if Li Xiaolin wanted to finish reading this storybook in 10 days, he should read it on average every day: 10 days/ 15 pages/day = 6 pages/day In other words, Li Xiaolin should read 6 pages a day instead of 12 pages a day.
How many pages does this novel have? If you read 10 pages on the first day, and then read 2 more pages every day, you would finish 24 pages on the last day?
He had read 12 pages on the first day, 6 more pages on the next day, and 48 pages on the last day. How many days had he read?
After reading 12 pages on the first day, he read 6 more pages every day than the previous day. On the last day, he read 48 pages. How many days did he read in total? He had read $12+12 + 12 + 12 + 12 +12+6+48$in total. Reading 6 more pages a day than the day before, so obviously in the first week, I read $12+12 + 12 + 12 + 12 +12+6+12=55$days. In the second week, he read $12+12 + 12 + 12 + 12 +12+6+12+12=63$days. By analogy, we can know that the total amount of reading before the end of the book is $55+63+70+73+80+86+98+48=695$days. Therefore, he read for a total of seven days.