Question

   В одном древнем городе время измеряли количеством сгоревших свечей, которые зажигали одну за другой. Тонкая свеча сгорает вчетверо быстрее, чем средняя свеча, а средняя сгорает в 5 раз быстрее, чем толстая свеча. Путешественник заметил, что за время ужина сгорели две толстых, три средних и две тонких свечи. По часам самого путешественника ужин длился 1 час 48 минут. Сколько минут горит средняя свеча? Ответом является целое число, в случае необходимости округлите до целых.

Answer 1

Вот алгоритм решения и ответ.

Answer 2

Problem Analysis

In this problem, we are given information about the burning rates of different candles and the number of candles that burned during a dinner. We need to determine the duration for which an average candle burns.

Given Information

- Thin candle burns 4 times faster than the average candle. - Average candle burns 5 times faster than the thick candle. - During dinner, 2 thick candles, 3 average candles, and 2 thin candles burned. - The dinner lasted for 1 hour and 48 minutes.

Solution

To solve this problem, we can assign variables to represent the burning rates of the thick, average, and thin candles. Let's assume the burning rate of the thick candle is x minutes, then the burning rates of the average and thin candles can be expressed as 5x and 20x minutes, respectively.

We are given that during dinner, 2 thick candles, 3 average candles, and 2 thin candles burned. We can calculate the total time taken by these candles to burn by multiplying their respective burning rates with the number of candles. The total time taken by the thick candles is 2x minutes, the total time taken by the average candles is 3 * 5x = 15x minutes, and the total time taken by the thin candles is 2 * 20x = 40x minutes.

We are also given that the dinner lasted for 1 hour and 48 minutes, which is equivalent to 60 + 48 = 108 minutes. We can set up an equation to represent the total time taken by all the candles:

2x + 15x + 40x = 108

Simplifying the equation, we get:

57x = 108

Solving for x, we find:

x = 108 / 57

x ≈ 1.895

Therefore, the burning rate of the thick candle is approximately 1.895 minutes.

Since we need to find the duration for which an average candle burns, we can substitute the value of x into the equation for the average candle's burning rate:

5x ≈ 5 * 1.895 ≈ 9.475

Rounded to the nearest whole number, the average candle burns for approximately 9 minutes.

Answer

The average candle burns for approximately 9 minutes.