
Бак автомобиля наполнен бензином до 5/6 своего объёма. После пробега в 125 км бак оказался пустым
на 4/9 своего объёма. Полный бак вмещает 54 л. Каков расход бензина на 50 км пути?

Ответы на вопрос




5/6 - 5/9 = 15/18 - 10/18 = 5/18 - бака истачено после пробега.
54 : 18 • 5 = 15 (л) - бензина ушло на 125 км.
15 : 125 • 50 = 6 (л) - расход на 50 км.
Ответ: 6 л.



Calculation of Fuel Consumption
To calculate the fuel consumption for a distance of 50 km, we need to determine the amount of fuel consumed for a distance of 125 km and then use that information to calculate the fuel consumption for 50 km.
Given information: - The fuel tank was filled to 5/6 of its capacity. - After traveling 125 km, the tank was empty and had 4/9 of its capacity remaining. - The full tank capacity is 54 liters.
To find the amount of fuel consumed for 125 km, we can subtract the remaining fuel in the tank from the initial fuel level:
Initial fuel level = 5/6 * 54 liters Remaining fuel level after 125 km = 4/9 * 54 liters
The fuel consumed for 125 km can be calculated as: Fuel consumed = Initial fuel level - Remaining fuel level
To find the fuel consumption for 50 km, we can use the proportion: Fuel consumption for 125 km / 125 km = Fuel consumption for 50 km / 50 km
Let's calculate the fuel consumption step by step:
1. Calculate the initial fuel level: Initial fuel level = 5/6 * 54 liters = 45 liters
2. Calculate the remaining fuel level after 125 km: Remaining fuel level after 125 km = 4/9 * 54 liters = 24 liters
3. Calculate the fuel consumed for 125 km: Fuel consumed = Initial fuel level - Remaining fuel level = 45 liters - 24 liters = 21 liters
4. Calculate the fuel consumption for 50 km: Fuel consumption for 125 km / 125 km = Fuel consumption for 50 km / 50 km
Let's solve the proportion: Fuel consumption for 50 km = (Fuel consumption for 125 km / 125 km) * 50 km
Now, let's calculate the fuel consumption for 50 km using the values we obtained:
Fuel consumption for 50 km = (21 liters / 125 km) * 50 km
The fuel consumption for 50 km is approximately 8.4 liters.
Please note that the above calculation assumes a linear fuel consumption rate, which may not always be accurate in real-world scenarios. Factors such as driving conditions, vehicle efficiency, and driving habits can affect the actual fuel consumption.


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