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to return a book to the library on time, Billy needs to read 40 pages every day. However, Billy reads 15 fewer pages than he should each day, and returns the book 6 days late. In how many days was he supposed to read the book?

Respuesta :

Using proportions, it is found that he was supposed to read the book in 10 days.

  • This question can be solved by proportions, using a inverse rule of three, as when the number of pages read per day increases, the time to finish the book decreases.
  • Reading 40 pages every day, he finishes the book in x days. He read 40 - 15 = 25 pages every day, and finished the book in x + 6 days, hence, the rule of three is:

40 pages - x days

25 pages - x + 6 days

Applying line multiplication, as it is an inverse rule of three:

[tex]40x = 25(x + 6)[/tex]

[tex]40x = 25x + 150[/tex]

[tex]15x = 150[/tex]

[tex]x = \frac{150}{15}[/tex]

[tex]x = 10[/tex]

He was supposed to read the book in 10 days.

A similar problem is given at https://brainly.com/question/24372153

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