Question

Легковой автомобиль с расходом топлива 6 литров на 100 километров израсходовал топливо на 4 литра меньше чем грузовик с расходом топлива 10 литров на 100 километров Определите пути пройденные каждом автомобилем учитывая что вместе они проехали 440 км

Answer 1

Х - израсходовал легковой
х+4 - израсходовал грузовой
6:100=0,06 (л/км) расход легкового
10:100=0,1 (л/км) расход грузового
х/0,06+(х+4)/0,1=440   (умножим на 6)
100х+60(х+4)=2640
100х+60х+240=2640
160х=2640-240
160х=2400
х=2400:160
х=15 (л) израсходовал легковой
15+4=19 (л) грузовой
15:0,06=250 (км) проехал легковой
19:0.1=190 (км) проехал грузовой

Answer 2

Calculation of Distance Traveled by Each Vehicle

To determine the distances traveled by each vehicle, we can use the information provided about their fuel consumption rates and the total distance traveled.

Given: - The car has a fuel consumption rate of 6 liters per 100 kilometers. - The truck has a fuel consumption rate of 10 liters per 100 kilometers. - The combined distance traveled by both vehicles is 440 kilometers.

To find the distance traveled by each vehicle, we can set up the following equation:

Distance traveled by car + Distance traveled by truck = Total distance traveled

Let's solve for the distance traveled by each vehicle:

Let x be the distance traveled by the car (in kilometers). Then, the distance traveled by the truck would be (440 - x) kilometers.

Using the fuel consumption rates, we can calculate the fuel used by each vehicle:

- The car would have used (6/100) * x liters of fuel. - The truck would have used (10/100) * (440 - x) liters of fuel.

Since the car used 4 liters less fuel than the truck, we can set up the following equation:

(6/100) * x = (10/100) * (440 - x) - 4

Now, let's solve this equation to find the value of x, which represents the distance traveled by the car.

Note: The equation can be simplified by multiplying both sides by 100 to eliminate the decimals.

Solution:

(6/100) * x = (10/100) * (440 - x) - 4

Multiplying both sides by 100:

6x = 10(440 - x) - 400

Expanding and simplifying:

6x = 4400 - 10x - 400

Combining like terms:

16x = 4000

Dividing both sides by 16:

x = 250

Therefore, the car traveled 250 kilometers, and the truck traveled (440 - 250) = 190 kilometers.

Answer:

The car traveled 250 kilometers, and the truck traveled 190 kilometers.