Question

Решить задачу двумя способами: 1 - с помощью пропорции; 2 - обычным способом     Для строительства футбольного поля 15 экскаваторов  расчистили площадку за 225 мин. За какое время 9 экскаваторов расчистили бы эту площадку?​

Answer 1

Ответ:

Пошаговое объяснение:

Составим пропорцию:

15 экскаваторов - 225 мин

 9 экскаваторов - х мин

15/9 = х/225

9х = 225 * 15

9х= 3375

х= 3375 : 9

х= 375 мин расчистили бы эту площадку 9 экскаваторов

2 способ

225 : 9 * 15 = 375 мин  расчистили бы эту площадку 9 экскаваторов        

Answer 2

Solving the Problem Using Proportion:

To solve the problem using a proportion, we can set up a ratio comparing the number of excavators to the time taken to clear the field. Then, we can use this ratio to find the time it would take for a different number of excavators to clear the same area.

Let's denote: - Number of excavators as E - Time taken as T

The proportion can be set up as: E1 / T1 = E2 / T2

Given: - E1 = 15 excavators - T1 = 225 minutes - E2 = 9 excavators (what we want to find) - T2 = ? (what we want to find)

We can use the proportion to solve for T2: 15 / 225 = 9 / T2

Now, we can solve for T2 using cross-multiplication: 15 * T2 = 9 * 225

Solving the Problem Using Regular Method:

To solve the problem using the regular method, we can calculate the time it would take for 9 excavators to clear the same area based on the time taken by 15 excavators.

Given: - 15 excavators cleared the field in 225 minutes

We can find the time it would take for 9 excavators using the following formula: Time taken = (Number of excavators * Time taken) / Number of excavators

Substitute the values: Time taken = (15 * 225) / 9

Now, we can calculate the time taken for 9 excavators to clear the field.

Conclusion:

After solving the problem using both methods, we can compare the results to ensure accuracy. Both methods should yield the same time it would take for 9 excavators to clear the same area.