Question

Два робітники, працюючи разом, викосили ділянку за 18 днів. За скільки днів викосив би цю ділянку кожен з робітників окремо, якщо другий робітник закінчив би цю роботу на 15 днів пізніше, ніж перший?

Answer 1

Ответ:

30 і 45 днів

Объяснение: все розписала на фото

Answer 2

Solution:

To solve this problem, we can use the concept of "worker's rates" and "combined work." Let's denote the rate of the first worker as x and the rate of the second worker as y. The combined rate of both workers is x + y.

Given that the two workers together completed the job in 18 days, we can express this as an equation: 18(x + y) = 1

We are also given that the second worker would finish the job 15 days later than the first worker if they worked separately. This means the first worker would finish the job in t days, and the second worker would finish it in t + 15 days.

Using the concept of worker's rates, we can express the individual work rates as: 1/t for the first worker and 1/(t + 15) for the second worker.

Now, we can set up an equation based on the individual work rates: 1/t + 1/(t + 15) = x + y

We have two equations: 1. 18(x + y) = 1 2. 1/t + 1/(t + 15) = x + y

We can solve these equations to find the values of t and (t + 15).

Let's proceed with solving these equations.