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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.

2024-09-11 16:38
If you read 39 pages a day, how many pages would you have to read on the last day to finish reading according to the date? detailed explanation
2024-09-11 21:44

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.

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