Answer :
Certainly! Let's solve each part of the question step by step.
1. Determining Who Was Paid at a Higher Rate:
- Brick Layer:
- Earnings: R1,392
- Time: 29 hours
- Rate per hour = R1,392 ÷ 29
- Carpenter:
- Earnings: R935
- Time: 17 hours
- Rate per hour = R935 ÷ 17
By comparing the two rates calculated above, we find that the carpenter was paid at a higher rate per hour.
2. Calculating the Time to Fill a Drum:
- Tap Flow Rate: 0.15 litres per second
- Drum Capacity: 30 litres
To find out how long it takes to fill the drum, you divide the drum capacity by the flow rate:
- Time to fill = 30 litres ÷ 0.15 litres/second = 200 seconds
Therefore, it takes 200 seconds to fill the drum.
3. Evaluating Paint Costs:
- Paint Prices:
- 1 litre: R52
- 5 litres: R214
- 20 litres: R894
- Cost per litre:
- 1 litre tin: R52 per litre
- 5 litre tin: R214 ÷ 5 = R42.8 per litre
- 20 litre tin: R894 ÷ 20 = R44.7 per litre
a) Best Value Tin:
- The best value per litre is the 5-litre tin at R42.8 per litre.
b) Cheapest Way to Buy 24 Litres:
- Purchase a 20-litre tin and a 5-litre tin for a total of 25 litres, which slightly exceeds the requirement but ensures the lowest cost. The total cost is R894 (for 20 litres) + R214 (for 5 litres).
- Total cost: R1,108.
However, to strictly get exactly 24 litres at the lowest cost, it is identified that buying multiple 5-litre tins along with 1-litre tins can achieve exactly 24 litres at a lower cost:
- Three 5-litre tins plus four 1-litre tins = 15 + 4 litres
- Total cost for this combination is R3 214 + R4 52 = R1,102.
Therefore, the highest rate, time to fill, best value tin, and cheapest way cost have been determined as per the detailed explanation above.
1. Determining Who Was Paid at a Higher Rate:
- Brick Layer:
- Earnings: R1,392
- Time: 29 hours
- Rate per hour = R1,392 ÷ 29
- Carpenter:
- Earnings: R935
- Time: 17 hours
- Rate per hour = R935 ÷ 17
By comparing the two rates calculated above, we find that the carpenter was paid at a higher rate per hour.
2. Calculating the Time to Fill a Drum:
- Tap Flow Rate: 0.15 litres per second
- Drum Capacity: 30 litres
To find out how long it takes to fill the drum, you divide the drum capacity by the flow rate:
- Time to fill = 30 litres ÷ 0.15 litres/second = 200 seconds
Therefore, it takes 200 seconds to fill the drum.
3. Evaluating Paint Costs:
- Paint Prices:
- 1 litre: R52
- 5 litres: R214
- 20 litres: R894
- Cost per litre:
- 1 litre tin: R52 per litre
- 5 litre tin: R214 ÷ 5 = R42.8 per litre
- 20 litre tin: R894 ÷ 20 = R44.7 per litre
a) Best Value Tin:
- The best value per litre is the 5-litre tin at R42.8 per litre.
b) Cheapest Way to Buy 24 Litres:
- Purchase a 20-litre tin and a 5-litre tin for a total of 25 litres, which slightly exceeds the requirement but ensures the lowest cost. The total cost is R894 (for 20 litres) + R214 (for 5 litres).
- Total cost: R1,108.
However, to strictly get exactly 24 litres at the lowest cost, it is identified that buying multiple 5-litre tins along with 1-litre tins can achieve exactly 24 litres at a lower cost:
- Three 5-litre tins plus four 1-litre tins = 15 + 4 litres
- Total cost for this combination is R3 214 + R4 52 = R1,102.
Therefore, the highest rate, time to fill, best value tin, and cheapest way cost have been determined as per the detailed explanation above.