Question

Дима и саша выполняют одинаковый тест. дима отвечает за час на 12 вопросов, а саша на 22 вопроса. они одновременно начали, но дима закончил позже саши на 75 минут. сколько вопросов содержит тест?

Answer 1

Дима  1 час (60 минут) = 12 вопросов
Саша  1 час (60 минут) = 22 вопроса
75 минут (60 минут + 15 минут)
Сколько вопросов содержит тест
Решение:
1) определим сколько времени занимает ответ на один вопрос Димы и Саши
Дима = 1 час (то есть 60 минут) разделить на 12 вопросов = 5 минут занимает ответ на один вопрос
Саша = 1 час (то есть 60 минут) разделить на 22 вопроса = 2 минуты 72 секунды ответ на один вопрос

2) Дима закончил позже Саши на 75 минут (60 минут + 15 минут)
Чтобы найти кол-во вопросов, надо разделить общее время на количество минут, которые Дима тратит на решение вопросов.

Answer 2

Calculation of the Number of Questions in the Test

To determine the number of questions in the test, we can use the information provided about the time it took for Dima and Sasha to complete the test.

According to the information given: - Dima answered 12 questions in 1 hour. - Sasha answered 22 questions in an unspecified amount of time. - Dima finished later than Sasha by 75 minutes.

To find the number of questions in the test, we can set up a proportion using the time and the number of questions answered by Dima and Sasha:

Dima's time to answer 12 questions = Sasha's time to answer x questions

Let's solve for x, the number of questions in the test.

Dima's time to answer 12 questions = 1 hour = 60 minutes

Sasha's time to answer x questions = Dima's time to answer 12 questions + 75 minutes

Therefore, the equation becomes:

60 minutes = (Dima's time to answer 12 questions + 75 minutes) / x questions

To solve for x, we can cross-multiply and solve the equation:

60 minutes * x questions = Dima's time to answer 12 questions + 75 minutes

x questions = (Dima's time to answer 12 questions + 75 minutes) / 60 minutes

Let's calculate the value of x:

x questions = (60 minutes + 75 minutes) / 60 minutes

x questions = 135 minutes / 60 minutes

x questions = 2.25

Since the number of questions cannot be a decimal, we need to round down to the nearest whole number.

Therefore, the test contains 2 questions.

Please note that the calculation assumes a linear relationship between the time taken and the number of questions answered. It's important to consider that the time taken to answer questions may not be consistent throughout the test, and other factors could affect the completion time.