Question

Одновременно зажгли три свечи одинаковой длины, но разного диа- метра. Длина каждой свечи 36 см. Первая свеча была самая толстая, 1 вторая - потоньше, а третья — самая тонкая. В тот момент, когда догорела третья свеча, первую и вторую тоже потушили. Оказалось, что огарок от первой свечи в полтора раза длиннее, чем от второй. За какое время полностью сгорает третья свеча, если известно, что пер- вая сгорает за 12 ч, а вторая за 9 ч? Запишите решение и ответ. Решение:!!!

Answer 1

Есть ли другое объяснение у будущей задачи такого типа, ведь, если солнце в зените, то акволангист доберется до станции "Петергоф" без будущих дат и отстуствующих проблем.

Answer 2

#### Problem Analysis We are given three candles of the same length but different diameters. The length of each candle is 36 cm. The first candle is the thickest, the second one is thinner, and the third one is the thinnest. When the third candle burns out, the first and second candles are also extinguished. It is known that the ember from the first candle is 1.5 times longer than the ember from the second candle. We need to find the time it takes for the third candle to burn out, given that the first candle burns for 12 hours and the second candle burns for 9 hours. #### Solution Let's assume that the thickness of the first candle is **x** cm, the thickness of the second candle is **y** cm, and the thickness of the third candle is **z** cm. We are given that the length of each candle is 36 cm. Since the length of the candles is the same, we can write the following equation: **x * x * 36 = y * y * 36 = z * z * 36** We are also given that the ember from the first candle is 1.5 times longer than the ember from the second candle. Mathematically, we can express this as: **x - y = 1.5 * y** We can solve these two equations to find the values of **x** and **y**. From equation we can simplify it to: **x * x = y * y = z * z** From equation we can also simplify it to: **x = 2.5 * y** Substituting equation into equation we get: **(2.5 * y) * (2.5 * y) = y * y = z * z** Simplifying further: **6.25 * y * y = y * y = z * z** Since **y * y** is common to both sides of the equation, we can cancel it out: **6.25 = 1 = z * z / y * y** Taking the square root of both sides, we get: **z / y = 1 / sqrt(6.25)** Simplifying further: **z / y = 1 / 2.5** Therefore, **z = y / 2.5** Now, we can substitute the value of **z** from equation into equation to find the value of **x**: **x = 2.5 * y = 2.5 * (y / 2.5) = y** So, **x = y** From equation we can conclude that the thickness of the first candle (**x**) is equal to the thickness of the second candle (**y**). Now, let's find the time it takes for the third candle to burn out. We are given that the first candle burns for 12 hours and the second candle burns for 9 hours. Since the thickness of the first and second candles is the same, we can assume that they burn at the same rate. Therefore, the third candle, which is the thinnest, will burn out in the same amount of time as the second candle, which is 9 hours. #### Answer The third candle will burn out in **9 hours**. #### References 'XV ...' - [[SOURCE 1]] 'III / 2021' - [[SOURCE 2]]