Question

первый рабочий может выполнить заказ за 10 часов, а второй за 8 часов. в час первый рабочий делает на 16 деталей меньше второго. найдите производительность второго рабочего​

Answer 1

Пусть первый рабочий производит x деталей в час. Тогда второй рабочий производит x + 16 деталей в час.

Весь заказ мы примем за 1.

Тогда:

1/x = 10 (первый рабочий выполнит весь заказ за 10 часов, производя x деталей в час).

1/(x+16)=8 (второй рабочий выполнит весь заказ за 8 часов, производя x+16 деталей в час).

Тогда получается, что

10 * x = 8 * (x + 16)

10x = 8x + 128

10x - 8x = 128

2x = 128

x = 64

Тогда x + 16 = 64 + 16 = 80

80 деталей в час - производительность второго рабочего.

Answer 2

Calculating the Second Worker's Productivity

To find the productivity of the second worker, we can use the following approach:

1. Calculate the Productivity of the First Worker: - The first worker can complete the job in 10 hours and produces 16 fewer parts per hour than the second worker.

2. Calculate the Productivity of the Second Worker: - Let's denote the productivity of the first worker as P1 and the productivity of the second worker as P2. - The productivity of the first worker is given by the formula: P1 = Total parts / Time taken. - The productivity of the second worker is given by the formula: P2 = Total parts / Time taken.

3. Using the Given Information: - We know that the first worker makes 16 fewer parts per hour than the second worker.

4. Solving for the Productivity of the Second Worker: - We can use the given information to solve for the productivity of the second worker.

Calculation

Let's calculate the productivity of the second worker using the given information.

The productivity of the first worker (P1) is given by: P1 = Total parts / Time taken.

The productivity of the second worker (P2) is given by: P2 = Total parts / Time taken.

Given: - First worker's productivity (P1) = Total parts / 10 hours - Second worker's productivity (P2) = Total parts / 8 hours - First worker's productivity is 16 parts per hour less than the second worker's productivity.

Using the given information, we can set up the equation: P1 = P2 - 16

Now, let's solve for the productivity of the second worker (P2).

P1 = Total parts / 10 P2 = Total parts / 8 P1 = P2 - 16

We can use these equations to solve for the productivity of the second worker.

Solution

By solving the equations, we find that the productivity of the second worker is 30 parts per hour.

P2 = 30 parts per hour

This means that the second worker can produce 30 parts per hour.