Naoya read a book cover to…

Maths Questions

Naoya read a book cover to cover in a single session at a rate of 55 pages per hour. After 4 hours, he had 350 pages left to read. Let P(t) denote the number of pages left to read as a function of time t (measured in hours). What is the formula for this function?

Answer

Naoya reads at a pace of 55 pages per hour, meaning he covers 55T pages in T hours. The total pages in the book can be represented by the equation B=55T+R, where B is the book’s length, T is the time in hours, and R is the remaining pages at any point. After 4 hours (T=4), Naoya found he had 350 pages left (R=350). Substituting these values into the equation gives us B=55*4+350=550. Therefore, the book has 550 pages. To determine the total time Naoya needed to finish the book, we set R=0 in the equation, leading to 550=55T. Solving for T gives T=10. Thus, the book is 550 pages and it took Naoya 10 hours to complete it.

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