The problem is about the fantasy fan who took on the task of rereading his favorite book

2024 Author: Malcolm Clapton | [email protected]. Last modified: 2023-12-17 03:44

Figure out how many pages your reader needs to cover to keep up with their friends.

Friends began to re-read their favorite fantasy in order to prepare for the thematic quiz. They agreed that they would read 250 pages a week.

Vova, a passionate fan of the genre, got carried away and read in a week 30% more than the established norm. Friends asked him to reduce productivity by 30% in order to keep up.

Vova obeyed and for the next 4 weeks he kept this pace. Then he checked with friends, who consistently read 250 pages a week, and found out that they were ahead of him.

There is a week left before the quiz. How many pages does Vova need to read during this period to catch up with his comrades?

Let's count how many pages Vova read when he got carried away:

250 + (250 × 0, 3) = 250 + 75 = 325.

Now let's calculate how many pages he began to read when friends asked him to reduce his productivity by 30%:

325 − (325 × 0, 3) = 325 − 97, 5 = 227, 5.

Vova kept this pace of reading for 4 weeks. Let's count how many pages he covered during this time and during his productive week:

325 + (227, 5 × 4) = 325 + 910 = 1 235.

And here are how many pages Vovina's friends read, who adhered to the usual pace:

250 × 5 = 1 250.

Vova lags behind his comrades by 1,250 - 1,235 = 15 pages. To catch up with them, he will need to read 250 + 15 = 265 pages in the remaining week.

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