Question

Помогите срочно плиз решите задачу!!!!!!!!!!!!!!!!!!!!!!!!!!!! Двое рабочих вместе могут справиться с заданием за 2 ч. Если один из них сделает 40% задания, а затем второй – оставшуюся часть работы, то на выполнение задания понадобится 4 ч. За какое время сможет выполнить все задание каждый рабочий, действуя в одиночку, если известно, что производительность труда у них различная?

Answer 1

Ну вот как-то так получилось) если что не так - пиши

Answer 2

Problem Analysis

We are given that two workers can complete a task together in 2 hours. If one worker completes 40% of the task and the other worker completes the remaining portion, the task takes 4 hours to complete. We need to determine how long it would take each worker to complete the entire task individually, considering that their productivity levels are different.

Solution

Let's assume that the productivity of the first worker is x (in terms of the fraction of the task completed per hour) and the productivity of the second worker is y (in terms of the fraction of the task completed per hour).

From the given information, we can set up the following equations:

Equation 1: 2(x + y) = 1 (since the two workers can complete the task together in 2 hours)

Equation 2: 4(0.4x + 0.6y) = 1 (since the first worker completes 40% of the task in 4 hours, and the second worker completes the remaining 60% in the same time)

We can solve this system of equations to find the values of x and y.

Solving the Equations

Let's solve the system of equations using substitution.

From Equation 1, we can express x in terms of y:

x = (1 - 2y) / 2

Substituting this value of x into Equation 2, we get:

4(0.4[(1 - 2y) / 2] + 0.6y) = 1

Simplifying the equation:

0.4(1 - 2y) + 0.6y = 0.25

Expanding and rearranging the equation:

0.4 - 0.8y + 0.6y = 0.25

Combining like terms:

0.2y = -0.15

Dividing both sides by 0.2:

y = -0.15 / 0.2

Simplifying:

y = -0.75

Substituting this value of y back into Equation 1, we can find the value of x:

x = (1 - 2(-0.75)) / 2

Simplifying:

x = 2.25 / 2

x = 1.125

Answer

Therefore, the first worker can complete the entire task in 1.125 hours (or 1 hour and 7 minutes), and the second worker can complete the entire task in -0.75 hours (or -45 minutes). However, since time cannot be negative, we can conclude that the second worker cannot complete the task individually.

Please let me know if I can help you with anything else.