Question

Помогите! Очень нужно решить!!! Таня посчитала, что 1/6 всего времени, которое потребовалось ей для выполнения домашних заданий, у неё ушло на математику, а 1/4 - на русский язык. Остальные уроки она сделала за 1 час 10 мин. Сколько времени Таня выполняла домашние задание.

Answer 1

1/6X + 1/4X + 7/6 = X 

 1 час 10 мин = 1 + (10/60) = 1 1/6 = 7/6 часа

7/6 = Х - 1/6Х - 1/4Х 
14 = 12Х - 2Х - 3Х 
7Х= 14 
Х = 2 
Ответ 2 часа 

Answer 2

Problem Statement

Таня посчитала, что 1/6 всего времени, которое потребовалось ей для выполнения домашних заданий, у неё ушло на математику, а 1/4 - на русский язык. Остальные уроки она сделала за 1 час 10 мин. Сколько времени Таня выполняла домашние задание?

Solution

To find out how much time Tanya spent on her homework, we need to calculate the time spent on math and Russian language separately, and then add it to the time spent on the remaining subjects.

Let's start by calculating the time spent on math. Tanya mentioned that 1/6 of the total time was spent on math. To find this fraction of time, we can multiply the total time by 1/6.

Next, let's calculate the time spent on Russian language. Tanya mentioned that 1/4 of the total time was spent on Russian language. Similar to the previous step, we can multiply the total time by 1/4 to find this fraction of time.

Finally, we can calculate the time spent on the remaining subjects by subtracting the time spent on math and Russian language from the total time. We are given that the remaining subjects were completed in 1 hour 10 minutes, which can be converted to hours by dividing by 60.

Let's calculate the time spent on each subject step by step:

1. Calculate the time spent on math: - Multiply the total time by 1/6. - Let's assume the total time is T hours. - The time spent on math is T * (1/6) hours.

2. Calculate the time spent on Russian language: - Multiply the total time by 1/4. - The time spent on Russian language is T * (1/4) hours.

3. Calculate the time spent on the remaining subjects: - Subtract the time spent on math and Russian language from the total time. - The time spent on the remaining subjects is T - (T * (1/6)) - (T * (1/4)) hours.

4. Add the time spent on the remaining subjects to the time spent on math and Russian language: - The total time spent on homework is (T * (1/6)) + (T * (1/4)) + (T - (T * (1/6)) - (T * (1/4))) hours.

Let's calculate the total time spent on homework:

Total time spent on homework = (T * (1/6)) + (T * (1/4)) + (T - (T * (1/6)) - (T * (1/4))) hours.

Now, let's calculate the total time spent on homework using the given information:

Total time spent on homework = (1/6)T + (1/4)T + (T - (1/6)T - (1/4)T) hours.

Simplifying the equation:

Total time spent on homework = (4/24)T + (6/24)T + (24/24 - 4/24T - 6/24T) hours.

Total time spent on homework = (10/24)T + (24/24 - 10/24)T hours.

Total time spent on homework = (10/24)T + (14/24)T hours.

Total time spent on homework = (24/24)T hours.

Since the total time spent on homework is equal to the total time available, we can conclude that Tanya spent the entire time available for doing her homework.

Therefore, the time Tanya spent on doing her homework is equal to the total time available.

Answer: Tanya spent the entire time available for doing her homework.

Note: The given problem does not provide the value of the total time available, so we cannot calculate the exact time spent on homework.