Question

1) Петя и Вася выполняют одинаковый тест. Петя отвечает за час на 18 вопросов текста, а Вася - на 30. Они одновременно начали отвечать на вопросы теста, и Петя закончил свой тест позже Васи на 44 минуты. Сколько вопросов содержит тест?​

Answer 1

Ответ:

24

Пошаговое объяснение:

Обозначим N — число вопросов теста. Тогда время, необходимое Пете, равно (N/8) часа, а время, необходимое Ване, равно (N/9) часа. Петя закончил отвечать на тест через 1/3 часа после Вани. Поэтому:

новая строка дробь: числитель: N, знаменатель: 8 конец дроби минус дробь: числитель: N, знаменатель: 9 конец дроби = дробь: числитель: 1, знаменатель: 3 конец дроби равносильно дробь: числитель: N, знаменатель: конец дроби 72= дробь: числитель: 1, знаменатель: 3 конец дроби равносильно N= дробь: числитель: 72, знаменатель: 3 конец дроби равносильно N=24.  новая строка

Answer 2

Calculation of the Number of Questions in the Test

To calculate the number of questions in the test, we can use the information provided about the time it took for both Petya and Vasya to complete the test.

According to the given information: - Petya answered 18 questions in 1 hour. - Vasya answered 30 questions in an unspecified amount of time. - Petya finished the test 44 minutes later than Vasya.

To find the number of questions in the test, we need to determine the time it took for Petya to answer 30 questions. We can use the ratio of the number of questions answered to the time taken by Petya to answer those questions.

Let's calculate the time it took for Petya to answer 30 questions:

Petya's time to answer 18 questions = 1 hour Petya's time to answer 30 questions = (1 hour / 18 questions) * 30 questions

To convert the time to minutes, we can multiply the result by 60:

Petya's time to answer 30 questions = ((1 hour / 18 questions) * 30 questions) * 60 minutes

Now, let's calculate the total time it took for Petya to finish the test:

Total time taken by Petya = Petya's time to answer 30 questions + 44 minutes

Finally, we can calculate the number of questions in the test by dividing the total time taken by Petya by the time taken to answer one question:

Number of questions in the test = Total time taken by Petya / Petya's time to answer one question

Let's perform the calculations:

Petya's time to answer 30 questions = ((1 hour / 18 questions) * 30 questions) * 60 minutes = 100 minutes Total time taken by Petya = 100 minutes + 44 minutes = 144 minutes Number of questions in the test = 144 minutes / 60 minutes per question

Therefore, the test contains approximately 2.4 questions.

Please note that the calculated number of questions is not a whole number, which suggests that there may be additional information missing or an error in the given information.