Question

Реши задачи способом пропорций: Машины грузоподъемностью 2,5 т может перевезти некоторый груз за 18 рейсов. За сколько рейсов можно перевезти этот груз машина, грузоподъемностью которая на 1 тонны меньше, если загрузка машин в обоих случаях полная? Помогите плизз :3

Answer 1

2,5-1=1,5
2,5-18
1,5-х              
грузоподъемность обратно пропорциональна кол-ву рейсов.⇒
 х=(2,5*18)\1,5=30
Ответ: за 30 рейсов

Answer 2

Problem Analysis

We are given that a truck with a carrying capacity of 2.5 tons can transport a certain load in 18 trips. We need to determine how many trips it would take for a truck with a carrying capacity 1 ton less to transport the same load, assuming both trucks are fully loaded.

Solution

Let's assume that the weight of the load to be transported is W tons.

For the first truck with a carrying capacity of 2.5 tons, it can transport the load in 18 trips. Therefore, the load transported in each trip would be W/18 tons.

Now, let's consider the second truck with a carrying capacity of 1 ton less, which is 1.5 tons. Since the load in each trip remains the same, we can set up the following proportion:

2.5 tons / 18 trips = 1.5 tons / x trips

To solve for x, we can cross-multiply and solve for x:

2.5 tons * x trips = 1.5 tons * 18 trips

Simplifying the equation:

2.5x = 1.5 * 18

2.5x = 27

x = 27 / 2.5

x ≈ 10.8

Therefore, it would take approximately 10.8 trips for the second truck, with a carrying capacity of 1 ton less, to transport the same load.

Answer

If the first truck with a carrying capacity of 2.5 tons can transport the load in 18 trips, then a truck with a carrying capacity of 1 ton less can transport the same load in approximately 10.8 trips, assuming both trucks are fully loaded.