Exercise 1.3

1. A bricklayer earned R1,392 for a job that took 29 hours. A carpenter earned R935 for a job that took 17 hours. Who was paid at a higher rate?

2. The rate at which water comes out of a tap is 0.15 liters per second. How long will it take to fill a drum with a capacity of 30 liters?

3. Jackson goes to the local hardware store to buy paint. He finds that the paint is sold in 1-liter, 5-liter, and 20-liter tins at a cost of R52, R214, and R894 respectively. He needs 24 liters to complete his job.
a) Which size tin represents the best value?
b) What is the cheapest way to buy enough paint to get the job done?

Sure, let's go through each exercise step-by-step:

### Exercise 1.3

#### 1. Determine Who Was Paid at a Higher Rate

- Brick Layer:
- Total earnings: R1,392
- Hours worked: 29 hours
- Rate per hour: [tex]$ \frac{R1,392}{29} = R48 $[/tex] per hour

- Carpenter:
- Total earnings: R935
- Hours worked: 17 hours
- Rate per hour: [tex]$ \frac{R935}{17} = R55 $[/tex] per hour

The carpenter was paid at a higher rate of R55 per hour compared to the brick layer's R48 per hour.

#### 2. Calculate the Time to Fill the Drum

- Water Rate: 0.15 liters per second
- Drum Capacity: 30 liters
- Time required: [tex]$ \frac{30 \, \text{liters}}{0.15 \, \text{liters/second}} = 200 $[/tex] seconds

It will take 200 seconds to fill the drum with 30 liters of water.

#### 3. Determine the Best Value Tin and Cheapest Way to Buy Paint

- 1-litre Tin: R52
- Cost per litre: R52

- 5-litre Tin: R214
- Cost per litre: [tex]$ \frac{R214}{5} = R42.8 $[/tex]

- 20-litre Tin: R894
- Cost per litre: [tex]$ \frac{R894}{20} = R44.7 $[/tex]

The 5-litre tin offers the best value at R42.8 per litre.

Buying 24 liters:
- Buy one 20-litre tin and one 5-litre tin:
- 20-litre can: R894
- 5-litre can: R214
- Total cost for 25 liters: [tex]$ R894 + R214 = R1102 $[/tex]

Thus, to get 24 liters, the cheapest way is to buy one 20-litre and one 5-litre tin, costing R1102 in total.