Question

две перевозки руды из карьера были отправлены пятитонные и трехтонные самосвалы. За 1 рейс пятитонные самосвалы перевозят руды на 18 т больше,чем трехтонные. За рабочий день пятитонные самосвалы совершили 4 рейса,а трехтонные- 6 рейсов, и всего ими перевезено за день 192 т руды.Сколько самосвалов каждой грузоподъемности перевозили руду ?

Answer 1

знаешь почему 1.5 потому что 2 

Answer 2

Problem Analysis

We are given that two types of dump trucks were used to transport ore from a quarry: 5-ton trucks and 3-ton trucks. It is stated that for each trip, the 5-ton trucks carried 18 tons more ore than the 3-ton trucks. We are also given that on a working day, the 5-ton trucks made 4 trips and the 3-ton trucks made 6 trips, resulting in a total of 192 tons of ore being transported.

We need to determine how many trucks of each capacity were used to transport the ore.

Solution

Let's assume that the number of 5-ton trucks is represented by 'x' and the number of 3-ton trucks is represented by 'y'.

From the given information, we can form the following equations:

1. The amount of ore transported by the 5-ton trucks in one trip is 18 tons more than the amount transported by the 3-ton trucks in one trip: - 5x = 3y + 18 2. The total amount of ore transported in one day is 192 tons: - 4(5x) + 6(3y) = 192

Simplifying the second equation: - 20x + 18y = 192

Now we have a system of two equations with two unknowns. We can solve this system to find the values of 'x' and 'y'.

Let's solve the system of equations:

Equation 1: 5x = 3y + 18 Equation 2: 20x + 18y = 192

We can solve Equation 1 for 'x': - x = (3y + 18) / 5

Substituting this value of 'x' into Equation 2: - 20((3y + 18) / 5) + 18y = 192

Simplifying the equation: - 12y + 72 + 18y = 192 - 30y = 120 - y = 4

Substituting the value of 'y' back into Equation 1 to find 'x': - 5x = 3(4) + 18 - 5x = 12 + 18 - 5x = 30 - x = 6

Therefore, there were 6 5-ton trucks and 4 3-ton trucks used to transport the ore.

Answer

The ore was transported using 6 5-ton trucks and 4 3-ton trucks.