Question

Два робочих отримали за роботу 255 грн. Перший робочий працював 10 годин, а другий 9 годин. Скільки отримав за годину кожен з них, якщо відомо, що перший робочий за 5 годин отримав на 15 грн. більше ніж другий за 3 години?

Answer 1

Система уравнений
10Х + 9y = 255
5x - 15 = 3y
Решение
- 10х + 30 = 6y
9y + 30 = 255 + 6y
3y = 225
y = 75 ( грн ) второй рабочий за 1 час
5х - 15 = 3•75
Х = ( 225 + 15 ) : 5 = 48 ( грн ) первый рабочий за 1 час
Ответ 48 и 75 гривен

Answer 2

Calculating the Hourly Rate for Each Worker

To calculate the hourly rate for each worker, we can use the given information about the total amount earned and the number of hours worked by each worker.

Let's denote: - The total amount earned by the first worker as T1 (255 грн). - The total amount earned by the second worker as T2 (255 грн). - The number of hours worked by the first worker as H1 (10 годин). - The number of hours worked by the second worker as H2 (9 годин).

We also know that the first worker earned 15 грн more than the second worker for 5 hours more work, and the second worker earned 3 години less than the first worker.

Calculating the Hourly Rate for the First Worker

Let's calculate the hourly rate for the first worker using the given information.

The first worker earned 15 грн more than the second worker for 5 hours more work. This means: - For 5 hours, the first worker earned 15 грн more than the second worker. - This gives us the equation: 5x = 15, where x is the hourly rate for the first worker.

Solving for x: - x = 15 / 5 - x = 3 грн/год

Calculating the Hourly Rate for the Second Worker

Now, let's calculate the hourly rate for the second worker using the given information.

The second worker earned 3 години less than the first worker. This means: - For 3 hours, the second worker earned 15 грн less than the first worker. - This gives us the equation: 3y = 15, where y is the hourly rate for the second worker.

Solving for y: - y = 15 / 3 - y = 5 грн/год

Conclusion

Therefore, the first worker's hourly rate is 3 грн/год, and the second worker's hourly rate is 5 грн/год.