Question

Первый рабочий выполняет заказ на 1 час быстрее второго. Если они будут работать совместно, то выполнят его за 50 минут. Сколько времени занимает выполнение заказа у каждого рабочего? (Переведите минуты в часы) ​

Answer 1

Ответ:

Объяснение:

примем всю работу за единицу.

время потраченное первым рабочим  Х,  тогда

время потраченное вторым рабочим  Х+ 1

производительность первого   $\frac{1}{x}$; производительность 2го  $\frac{1}{x+1}$  ;

совместно работая, выполняют работу за 50 мин.=$\frac{5}{6}$ ч.

составляем уравнение.

$(\frac{1}{x} +\frac{1}{x+1})*\frac{5}{6} = 1$

$> </p> <p> <img src=$  значение отрицательное, не удовлетворяет условию.

пользуясь калькулятором, считаешь время "х" округляя до сотых.

а потом переводишь в часы и минуты...

дерзай.

Answer 2

Problem Analysis

We are given that the first worker completes a task 1 hour faster than the second worker. When they work together, they can complete the task in 50 minutes. We need to determine how long it takes each worker to complete the task individually.

Solution

Let's assume that the first worker takes x hours to complete the task. Since the second worker takes 1 hour longer, the second worker takes (x + 1) hours to complete the task.

When they work together, they can complete the task in 50 minutes, which is equal to 50/60 = 5/6 hours.

To find the individual completion times, we can set up the following equation:

1/x + 1/(x + 1) = 5/6

To solve this equation, we can multiply both sides by 6x(x + 1) to eliminate the denominators:

6(x + 1) + 6x = 5x(x + 1)

Simplifying the equation:

6x + 6 + 6x = 5x^2 + 5x

Rearranging the terms:

5x^2 - 7x - 6 = 0

Now we can solve this quadratic equation to find the values of x.

Using the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 5, b = -7, and c = -6.

Calculating the values of x:

x = (-(-7) ± √((-7)^2 - 4 * 5 * -6)) / (2 * 5) x = (7 ± √(49 + 120)) / 10 x = (7 ± √169) / 10 x = (7 ± 13) / 10

We have two possible solutions for x:

1. x = (7 + 13) / 10 = 20 / 10 = 2 2. x = (7 - 13) / 10 = -6 / 10 = -0.6

Since time cannot be negative, we discard the second solution.

Therefore, the first worker takes 2 hours to complete the task, and the second worker takes 2 + 1 = 3 hours to complete the task.

Converting the minutes to hours: - The first worker takes 2 hours, which is equal to 2 * 60 = 120 minutes. - The second worker takes 3 hours, which is equal to 3 * 60 = 180 minutes.

Answer

The first worker takes 120 minutes (2 hours) to complete the task, and the second worker takes 180 minutes (3 hours) to complete the task.