Question

Петя ехал на поезде сначала он читал книгу затем отдыхал потом смотрел в окно а после пил чай на каждое из этих занятий кроме первого у пети ушло вдвое меньше времени чем предыдущее начал читать книгу он в полдень а закончил пить чай в два часа дня сколько было времени когда Петя начал смотреть в окно

Answer 1

Пусть х часов читал книгу, тогда (х/2) часов отдыхал, (х/4) часов смотрел в окно, (х/8) часов пил чай.
На все это ушло 2 часа ( 14.00-12.00=2 часа)
Уравнение
х+(х/2)+(х/4)+(х/8)=2
(15х)/8=2
х=(16/15) часа=1 час 1/15=1 час 4 минуты.
О т в е т. 13 часов 4 минуты

Answer 2

В 12:40 начал смотреть в окно

Answer 3

Problem Analysis

We are given the following information about Petya's activities during his train journey: - He started by reading a book. - Then he took a break. - After that, he looked out the window. - Finally, he drank tea.

We are also given that for each of these activities, except for the first one (reading a book), Petya took half the time of the previous activity. We need to determine the time when Petya started looking out the window.

Solution

Let's assign variables to represent the time taken for each activity: - Let x represent the time taken to read the book. - Let y represent the time taken for the break. - Let z represent the time taken to look out the window. - Let w represent the time taken to drink tea.

Based on the given information, we can write the following equations:

1. Petya started reading the book at noon (12:00 PM) and finished drinking tea at 2:00 PM. Therefore, the total time for all activities is 2 hours. - Equation 1: x + y + z + w = 2.

2. For each activity, except for reading the book, Petya took half the time of the previous activity. - Equation 2: y = (1/2)x - Equation 3: z = (1/2)y - Equation 4: w = (1/2)z

To solve this system of equations, we can substitute the values of y, z, and w from equations 2, 3, and 4 into equation 1.

Solution Steps

1. Substitute the values of y, z, and w from equations 2, 3, and 4 into equation 1: - x + (1/2)x + (1/2)((1/2)x) + (1/2)((1/2)((1/2)x)) = 2 - Simplifying the equation: - x + (1/2)x + (1/4)x + (1/8)x = 2 - (15/8)x = 2 - x = (8/15) * 2 - x = 16/15

2. Now that we have the value of x, we can substitute it back into equations 2, 3, and 4 to find the values of y, z, and w: - y = (1/2)(16/15) - z = (1/2)(1/2)(16/15) - w = (1/2)(1/2)(1/2)(16/15)

3. Calculate the values of y, z, and w: - y = 8/15 - z = 4/15 - w = 2/15

4. To find the time when Petya started looking out the window, we need to add up the times for reading the book and taking a break: - Start time = 12:00 PM + 16/15 hours + 8/15 hours = 12:00 PM + 24/15 hours = 12:00 PM + 8/5 hours = 12:00 PM + 1 hour and 36 minutes = 1:36 PM.

Therefore, Petya started looking out the window at 1:36 PM.

Answer

Petya started looking out the window at 1:36 PM.