Question

Автобус в первый день проехал одну четвертую пути,во второй день минус две третьи пути,пройденого в первый день,а в третий день-оставшиеся 126 км.На каждые 4 км автобус расходывал 0,6 литров беньзина.Сколько литров беньзина израсходовано автобусом за весь путь?

Answer 1

1 день - 1/4 пути
2 день  - 2/3 пути от 1 дня
3 день - 126 км
4 км - 0,6 л
весь путь - ? л

1) Пусть х км - весь путь, тогда
1/4 х (км)  - 1 день
2/3 * 1/4 х (км) - 2 день. Составляем уравнение:
1/4 х + 2/3*1/4 х + 126 = х
1/4 х + 2/12 х + 126 = х 
3/12 х + 2/12 х + 126 = 12/12 х
126 = (12/12 - 3/12 - 2/12) х
126 = 7/12 х
х = 126 : 7/12
х= 126 * 12/7 
х= 18*12
х=216 км - весь путь, пройденный автобусом

2) 216 км - ? л
        4 км - 0,6 л
 прямая пропорциональность
 216 : 4 = у : 0,6
4 у = 216 * 0,6
4 у = 129,6
у= 129,6 : 4
у= 32,4 (л) бензина израсходовано автобусов за весь путь

Answer 2

Х-весь путь
1 день х/4
2 день х/6 3 день 126км
х=х/4+х/6+126
х-(3х/12+2х/12)=126
х-5х/12=126
7х/12=126
х=126:7/12
х=126*12/7
х=18*12=216км
216:4*0,6=54*0,6=32,4л бензина израсходовано

Answer 3

Calculation of Fuel Consumption for the Entire Trip

To calculate the total amount of fuel consumed by the bus for the entire trip, we need to determine the distance traveled each day and then calculate the fuel consumption based on the given rate.

Let's break down the information provided:

- On the first day, the bus traveled one-fourth of the total distance. - On the second day, the bus traveled minus two-thirds of the distance traveled on the first day. - On the third day, the remaining distance was 126 km.

To find the total distance traveled, we need to determine the distance traveled on the first and second days.

Calculation of Distance Traveled on the First Day

Given that the bus traveled one-fourth of the total distance on the first day, we can calculate the distance using the following equation:

Distance on the first day = (1/4) * Total distance

Calculation of Distance Traveled on the Second Day

The distance traveled on the second day is given as minus two-thirds of the distance traveled on the first day. We can calculate the distance using the following equation:

Distance on the second day = - (2/3) * Distance on the first day

Calculation of Total Distance Traveled

To find the total distance traveled, we need to add the distances traveled on the first and second days and subtract it from the remaining distance on the third day:

Total distance = Distance on the first day + Distance on the second day + Remaining distance on the third day

Now that we have the total distance traveled, we can calculate the fuel consumption.

Calculation of Fuel Consumption

Given that the bus consumes 0.6 liters of fuel for every 4 km traveled, we can calculate the total fuel consumption using the following equation:

Total fuel consumption = (Total distance / 4) * 0.6 liters

Let's calculate the values step by step.

1. Calculation of Distance Traveled on the First Day: - Total distance = Unknown - Distance on the first day = (1/4) * Total distance

2. Calculation of Distance Traveled on the Second Day: - Distance on the second day = - (2/3) * Distance on the first day

3. Calculation of Total Distance Traveled: - Total distance = Distance on the first day + Distance on the second day + Remaining distance on the third day

4. Calculation of Fuel Consumption: - Total fuel consumption = (Total distance / 4) * 0.6 liters

Please provide the total distance traveled, and I will calculate the fuel consumption for you.