How many people will be needed to erect the fence in 4 days? 2.2. If one person rates R70/hour. How much will be the total cost of labourers in 3 days if 3 people work for 8 hours a day?

Here are the solutions for Activity 2.

2.1

Step 1: Determine the total work units. The work required to erect the fence is constant. It is calculated as the number of people multiplied by the number of days. $\text{Total work} = People \times \text{Days}$ $\text{Total work} = 14\, people \times 8\, \text{days}$ $\text{Total work} = 112\, \text{person-days}$

Step 2: Calculate the number of people needed for the new timeframe. To complete the same amount of work in 4 days, we divide the total work by the new number of days. $\text{Number of people} = \frac{Total work}{New number of days}$ $\text{Number of people} = \frac{112\, person-days}{4\, days}$ $\text{Number of people} = 28\, \text{people}$

To erect the fence in 4 days, 28 people will be needed. $\boxed{28 people}$

2.2

Step 1: Calculate the total hours worked by one person. One person works for 8 hours a day for 3 days. $\text{Hours per person} = 8\, hours/day \times 3\, \text{days}$ $\text{Hours per person} = 24\, \text{hours}$

Step 2: Calculate the total hours worked by all labourers. There are 3 people working. $\text{Total hours worked} = Hours per person \times \text{Number of people}$ $\text{Total hours worked} = 24\, hours \times 3$ $\text{Total hours worked} = 72\, \text{hours}$

Step 3: Calculate the total cost. Each person rates R70 per hour. $\text{Total cost} = Total hours worked \times \text{Rate per hour}$ $\text{Total cost} = 72\, hours \times R70/\text{hour}$ $\text{Total cost} = R5040$

The total cost of labourers will be R5040. $\boxed{R5040}$

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