Question

Две бригады, работая одновременно, выполнили производственное задание за 6 часов. За сколько часов может выполнить это задание каждая бригада, работая отдельно, если второй бригаде для этого нужно на 16 часов больше, чем первой?

Answer 1

Ответ:

Объяснение:

8 часов

244 часа

Answer 2

Problem Analysis

The problem states that two brigades, working simultaneously, completed a task in 6 hours. It also mentions that the second brigade requires 16 hours more than the first brigade to complete the task individually.

Solution

To solve this problem, we can use the concept of work rates. Let's denote the time taken by the first brigade to complete the task as x hours and the time taken by the second brigade to complete the task as x + 16 hours.

The work done by the two brigades working together is 1 job in 6 hours. Using this information, we can set up the following equation:

1/x + 1/(x + 16) = 1/6

We can solve this equation to find the individual times taken by each brigade to complete the task.

Calculation

Let's solve the equation 1/x + 1/(x + 16) = 1/6 to find the values of x and x + 16.

1. Multiply through by 6x(x + 16) to clear the fractions. 2. Simplify the equation and solve for x.

Result

The value of x will give us the time taken by the first brigade to complete the task individually, and x + 16 will give us the time taken by the second brigade to complete the task individually.

Let's calculate the values of x and x + 16.