Question

Заказ на 80 деталей первый рабочий выполняет на 2 часа медленней ,чем второй. сколько деталей в час делает второй рабочий ,если известно, что он за час делает на 2 детали больше чем первый

Answer 1

Пусть второй рабочий сделал 80 деталей за х ч., тогда первый рабочий сделал 80 деталей за (х-2)ч. Зная, что первый рабочий в час делает на 2 детали больше, составим уравнение:
80/(х-2)-2=80/х
(80х-80х+160)/х(х-2)=2
2x^{2}-4x-160=0
x^{2} -2x-80=0
x=10 или х=-8(не удовл. условию)
80/(х-2)=80/(10-2)=80/8=10дет/ч делает первый рабочий.

Answer 2

Calculating the Production Rate of the Second Worker

To calculate the production rate of the second worker, we can use the information provided. Let's break it down step by step.

The first worker completes an order of 80 parts in 2 hours, while the second worker completes the same order in a shorter time.

Step 1: Calculate the Production Rate of the First Worker

The first worker's production rate can be calculated using the formula: \[ \text{Production Rate} = \frac{\text{Total Parts}}{\text{Total Time}} \]

Using the given information: \[ \text{Production Rate of the First Worker} = \frac{80 \text{ parts}}{2 \text{ hours}} = 40 \text{ parts per hour} \]

Step 2: Calculate the Production Rate of the Second Worker

We know that the second worker completes the order in less time and produces 2 more parts per hour than the first worker.

Let's denote the production rate of the second worker as \( x \) parts per hour. We can set up the following equation based on the given information: \[ x = 40 + 2 \]

Solving for \( x \): \[ x = 42 \]

The second worker produces 42 parts per hour.

This calculation is based on the given information and the relationship between the production rates of the two workers.

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