Question

Расстояние от Зареченска до заправочной станции в 7 раз меньше, чем от заправочной станции до Ивантеевки.Хватит ли машине 10 л бензина, чтобы доехать до заправочной станции, если на каждые 100 км пути ей требуется 9 л бензина

Answer 1

800: 7 = 114,3 км,

114,3*9/100 = 10,3

Не хватит 0,3 л.

Это почти на 3 км - не дотолкаете

Answer 2

According to the given information, the distance from Zarechensk to the gas station is 7 times shorter than the distance from the gas station to Ivanteevka. The car requires 9 liters of gasoline for every 100 kilometers of travel. The question is whether 10 liters of gasoline will be enough for the car to reach the gas station.

To solve this problem, we can use the concept of proportionality. Let's assume that the distance from Zarechensk to the gas station is represented by x kilometers. Therefore, the distance from the gas station to Ivanteevka would be 7x kilometers.

Now, we can set up a proportion to find the amount of gasoline needed for the entire trip:

9 liters / 100 kilometers = y liters / x kilometers

Simplifying the proportion, we get:

9/100 = y/x

To find the value of y, we can cross-multiply:

9x = 100y

Now, let's substitute the given values into the equation. Since the car requires 9 liters of gasoline for every 100 kilometers, we can set up another proportion:

9 liters / 100 kilometers = 10 liters / z kilometers

Simplifying the proportion, we get:

9/100 = 10/z

To find the value of z, we can cross-multiply:

9z = 1000

Solving for z, we get:

z = 1000/9 ≈ 111.11 kilometers

Therefore, the car can travel approximately 111.11 kilometers with 10 liters of gasoline.

Now, let's substitute this value into the previous equation to find the value of y:

9x = 100y

9x = 100 * 111.11

Solving for x, we get:

x ≈ 1234.44 kilometers

Therefore, the distance from Zarechensk to the gas station is approximately 1234.44 kilometers.

To summarize: - The car can travel approximately 111.11 kilometers with 10 liters of gasoline. - The distance from Zarechensk to the gas station is approximately 1234.44 kilometers.

Please note that the calculations are based on the given information and assumptions made.