Calculate the average speed and the cost of petrol for the given distances and rates.

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2.

Identify the given values.
- Distance = $2.4 \text{ km}$
- Time = $0.16 \text{ hours}$
Use the formula for average speed.
$\text{Average Speed} = \frac{\text{Distance}}{\text{Time}}$
Substitute the values into the formula.
$\text{Average Speed} = \frac{2.4 \text{ km}}{0.16 \text{ hours}}$
Calculate the average speed.
$\text{Average Speed} = 15 \text{ km/h}$
- The average speed is $\boxed{\text{15 km/h}}$
3.
Identify the given values.
- Distance = $397.8 \text{ km}$
- Petrol consumption = $8 \text{ L/100 km}$
- Petrol cost = $\text{R}22.17/\text{L}$
Calculate the total petrol needed for the journey.
$\text{Petrol needed} = \frac{\text{Distance}}{\text{100 km}} \times \text{Consumption per 100 km}$ $\text{Petrol needed} = \frac{397.8 \text{ km}}{100 \text{ km}} \times 8 \text{ L}$ $\text{Petrol needed} = 3.978 \times 8 \text{ L}$ $\text{Petrol needed} = 31.824 \text{ L}$
Calculate the total cost of the petrol.
$\text{Total Cost} = \text{Petrol needed} \times \text{Cost per litre}$ $\text{Total Cost} = 31.824 \text{ L} \times \text{R}22.17/\text{L}$ $\text{Total Cost} = \text{R}705.57648$
Round the total cost to two decimal places.
$\text{Total Cost} \approx \text{R}705.58$
- The cost of petrol is $\boxed{\text{R}705.58}$
4.
Identify the given values.
- Distance = $580 \text{ km}$
- Petrol consumption = $7.5 \text{ L/100 km}$
- Assume petrol cost is $\text{R}22.17/\text{L}$ (based on the previous question).
Calculate the total petrol needed for the journey.
$\text{Petrol needed} = \frac{\text{Distance}}{\text{100 km}} \times \text{Consumption per 100 km}$ $\text{Petrol needed} = \frac{580 \text{ km}}{100 \text{ km}} \times 7.5 \text{ L}$ $\text{Petrol needed} = 5.8 \times 7.5 \text{ L}$ $\text{Petrol needed} = 43.5 \text{ L}$
Calculate the total cost of the petrol.
$\text{Total Cost} = \text{Petrol needed} \times \text{Cost per litre}$ $\text{Total Cost} = 43.5 \text{ L} \times \text{R}22.17/\text{L}$ $\text{Total Cost} = \text{R}964.995$
Round the total cost to two decimal places.
$\text{Total Cost} \approx \text{R}965.00$
- The cost of petrol is $\boxed{\text{R}965.00}$
5.
Identify the given values.
- Petrol consumption = $6 \text{ L/100 km}$
- Available petrol = $30 \text{ L}$
Determine how many kilometres the car can travel per litre.
$\text{Distance per litre} = \frac{100 \text{ km}}{6 \text{ L}}$ $\text{Distance per litre} \approx 16.6667 \text{ km/L}$
Calculate the total distance the car can travel with the available petrol.
$\text{Total Distance} = \text{Available petrol} \times \text{Distance per litre}$ $\text{Total Distance} = 30 \text{ L} \times \frac{100 \text{ km}}{6 \text{ L}}$ $\text{Total Distance} = 5 \times 100 \text{ km}$ $\text{Total Distance} = 500 \text{ km}$
- The car can travel $\boxed{\text{500 km}}$

Calculate the average speed and the cost of petrol for the given distances and rates.

Step-by-step solution

Identify the given values.

Use the formula for average speed.

Substitute the values into the formula.

Calculate the average speed.

Identify the given values.

Calculate the total petrol needed for the journey.

Calculate the total cost of the petrol.

Round the total cost to two decimal places.

Identify the given values.

Calculate the total petrol needed for the journey.

Calculate the total cost of the petrol.

Round the total cost to two decimal places.

Identify the given values.

Determine how many kilometres the car can travel per litre.

Calculate the total distance the car can travel with the available petrol.

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