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12 February, 18:25

To return the book to the library in time the student had to read 40 pages every day, but he read 15 pages less a day and returned the book 6 days late. In how many days was the student supposed to read the book?

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  1. 12 February, 19:57
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    He was supposed to read the book in 10 days.

    Step-by-step explanation:

    Let d = number of days he should have taken to read the book.

    He should have read 40 pages per day for d days. That means 40d number of pages.

    He read 15 pages per day less than he should have, so he read 40 - 15 = 25 pages per day. He took an extra 6 days, so he took d + 6 number of days. Reading 25 pages per day for d + 6 days, he read a total of 25 (d + 6) pages.

    The number of pages of the book is the same either way, so

    40d = 25 (d + 6)

    40d = 25d + 150

    15d = 150

    d = 10

    Answer: He was supposed to read the book in 10 days.

    Check:

    He should have done this: 10 days at 40 pages/day = 400 pages.

    He did this: 40 - 15 = 25 pages/day; 10 days + 6 days = 16 days.

    16 days at 25 pages/day = 400 pages.

    Since we get the same number of pages both ways, the answer is correct.
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