Question

Четвертокласник Руслан за певний час прочитав дві книжки, у першій книжці - 240 сторінок, а в другій - 380. Другу книжку він читав на 7 днів довше, ніж першу. Скільки днів Руслан читав кожну книжку, якщо щодня прочитував однакову кількість сторінок? срочно с полным решением даю 40 балов ​

Answer 1

Пошаговое объяснение:

1) 380 - 240 = 140 (стр) - больше во 2 книге

2) 140 : 7 = 20 (стр) - читал в день

3) 240 : 20 = 12 (дней) - читал 1 книгу

4) 380 : 20 = 19 (дней) - читал 2 книгу

Answer 2

Solution:

To solve this problem, we can use the information provided to calculate the number of days Ruslan took to read each book.

Let's start by calculating the number of pages Ruslan read per day for each book.

1. Calculate Pages Read per Day for Each Book: - In the first book with 240 pages, Ruslan read at a constant rate for a certain number of days. - In the second book with 380 pages, Ruslan read at the same constant rate but for 7 days longer than the first book.

2. Calculate the Number of Days to Read Each Book: - Using the pages read per day, we can calculate the number of days it took Ruslan to read each book.

3. Calculate the Total Number of Days: - Finally, we can add the number of days for each book to find the total number of days Ruslan took to read both books.

Let's proceed with the calculations.

Calculations:

1. Calculate Pages Read per Day for Each Book: - Let's assume Ruslan read x pages per day. - For the first book (240 pages), he read at a constant rate for a certain number of days. - For the second book (380 pages), he read at the same rate but for 7 days longer.

2. Calculate the Number of Days to Read Each Book: - For the first book: 240 pages / x pages per day = number of days to read the first book. - For the second book: 380 pages / x pages per day = number of days to read the second book.

3. Calculate the Total Number of Days: - Total days = (number of days for the first book) + (number of days for the second book).

Let's solve for x, the number of pages Ruslan read per day.

Solution:

Let's solve the equation to find the value of x:

240 / x + 7 = 380 / x

Multiplying both sides by x gives:

240 + 7x = 380

Subtracting 240 from both sides gives:

7x = 140

Dividing both sides by 7 gives:

x = 20

So, Ruslan read 20 pages per day.

Final Calculation:

Now, we can calculate the number of days it took Ruslan to read each book and the total number of days.

For the first book (240 pages): Number of days = 240 / 20 = 12 days

For the second book (380 pages): Number of days = 380 / 20 = 19 days

Total number of days = 12 days (first book) + 19 days (second book) = 31 days

Answer:

Ruslan read the first book in 12 days and the second book in 19 days. Therefore, he took a total of 31 days to read both books.