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4.04 Rates on the road

Worksheet
Rates on the road
1

Find the fuel consumption (in \text{L/}100\text{ km}) of a car that:

a

travels 160\text{ km} using 20 litres of fuel.

b

travels 90\text{ km} consuming 9 litres of fuel.

2

A hybrid car travels 250 kilometres and consumes 5 litres of fuel. What is the rate of fuel consumption for the car in \text{L/}100\text{ km}?

3

Homer’s car can travel 10\,000 kilometres on 567 litres of fuel. What is the rate of fuel consumption in \text{L/}100\text{ km}

4

Find the fuel consumption (in \text{L/km}) of a car that:

a
travels 71.2 kilometres and consumes 4.984 litres of fuel.
b
travels 80 kilometres and consumes 8 litres of fuel.
5

Find the fuel economy (in \text{km/L}) of a car that:

a

travels 510\text{ km} using 7.5 litres of fuel.

b

travels 171.6\text{ km} using 3.9 litres of fuel.

c

travels 385 \text{ km} using 8.75 litres of fuel.

d

travels 171 \text{ km} using 4.5 litres of fuel.

6

A car travels 200 kilometres and consumes 30 litres of fuel.

a

Find the rate of fuel consumption of the car in \text{ L/km}.

b

Find the rate of fuel consumption of the car in \text{L/}100\text{ km}.

7

Valerie drives 19\,200 kilometres each year and has a car with a fuel efficiency of 0.11\text{ L/km}. How many litres of fuel does the car consume in a year?

8

Ursula kept track of her fuel consumption over a month, and she recorded that her motorcycle consumed 180 litres of fuel. Its fuel economy is listed as 13.4\text{ km/L}. How many kilometres did she travel during the month?

9

A car travels 2650 kilometres to Uluru. The car has a fuel consumption of 10.2\text{ L/}100\text{ km} . How many litres will the car consume getting to Uluru?

10

Susana is driving 700 kilometres to visit her family. The car has a fuel consumption of 5\text{ L/}100\text{ km}. How many litres of fuel will Susana have to purchase to make this trip?

11

Emma's car can travel 5000 kilometres on 1680 litres of fuel.

Dylan’s car can travel 400 kilometres on 144 litres of fuel.

a

What is the rate of fuel consumption of Emma's car in \text{L/}100\text{ km}?

b

What is the rate of fuel consumption of Dylan’s car in \text{L/}100\text{ km}?

c

Whose car is the most fuel efficient?

12

John and Tracy each own a car, but they decide to carpool together to save money. They want to figure out whose car will be cheaper to run. John's car has a rate of fuel consumption of 5.8 \text{ L/}100\text{ km} . Tracy's car has a fuel economy of 16 \text{ km/L}.

a

Calculate the fuel economy of John's car in \text{ km/L} to two decimal places.

b

Whose car should they take to save fuel?

13

Patricia and Dave each own a car, but they decide to carpool together to save money. They want to figure out whose car will be cheaper to run. Patricia’s car has a rate of fuel consumption of 8\text{ L/}100\text{ km}. Dave’s car has a fuel economy of 28\text{ km/L}.

a

Calculate the fuel economy of Patricia’s car in km/L to the nearest integer.

b

Whose car should they use to save fuel?

14

A car is reported to have a rate of fuel consumption of 6.6\text{ L/}100\text{ km}. Roxanne has calculated the rate of her fuel consumption to be 0.056\text{ L/km}. Does Roxanne’s car appear to be more or less efficient than reported?

15

A car is reported to have a rate of fuel consumption of 7.1 \text{ L/}100\text{ km} . Skye has calculated the rate of her fuel consumption to be 0.041 \text{ L/km}. Does Skye's car appear to be more or less efficient than reported?

16

Joanna has to travel 924.5 kilometres to reach the nearest hospital. Her car has a fuel economy of 5 \text{ km/L}.

a

How much fuel will she need for the trip?

b
Joanna's tank can hold 43 litres of fuel, and she will carry the rest of the fuel she needs in 30\text{ L} cans. How many 30\text{ L} cans will she need to fill?
17

Harry owns a 4WD with a fuel efficiency of 8 \text{ L/}100\text{ km} which requires 126 litres of fuel a week. Harry also owns a sedan which has a fuel efficiency of 7 \text{ L/}100\text{ km} which requires 240 litres of fuel.

a

What distance does the 4WD cover in a week?

b

What distance does the sedan cover in a week? Round your answer to two decimal places.

18

Ray wants to purchase a 4WD, and there are two models he is choosing between - one that runs on diesel, and one that runs on unleaded petrol. The diesel 4WD has a fuel consumption of 12.4\text{ L/}100\text{ km}, and the unleaded 4WD has a fuel consumption of 6.6\text{ L/}100\text{ km}. Ray drives around 12\,900 kilometres a year. On average, the price of unleaded petrol is 147.9\text{c} per litre, and for diesel it is 157.3\text{c} per litre.

a

Find an estimate of the yearly cost in fuel for the diesel 4WD.

b

Find an estimate of the yearly cost in fuel for the unleaded 4WD.

c

Which car should Ray purchase to minimise his yearly fuel cost?

19

Yaz is replacing her V6 engine with a more fuel efficient four-cylinder engine. The new engine will cost \$3600 up front but will improve the rate of fuel consumption of the car from 11.1 \text{ L/}100\text{ km} to 8.2\text{ L/}100\text{ km}. Yaz travels 13\,000 kilometres per year.

a

If the average fuel price for unleaded petrol is 143.4\text{c} and her new engine runs on this petrol, how much money will Yaz save on fuel costs each year by replacing the engine?

b

How long will it be until the cost of replacing the engine is equal to her savings on fuel? Round your answer to two decimal places.

20

Maria is considering switching from using premium fuel to E10 in her car. The price of E10 petrol is, on average, 152\text{c} per litre, and for premium petrol it is 174\text{c} per litre. According to the manufacturer's website her car's fuel efficiency using premium is 4.3 \text{ L/}100\text{ km}, whereas using E10 it is 3.8 \text{ L/}100\text{ km}. Maria drives around 12\,900 kilometres per year.

a

How much does using premium fuel cost Maria per year?

b

How much would she pay for fuel each year if she used E10?

c

Would Maria save money on fuel if she switched to using E10?

21

Amy has to travel 1450.4 kilometres for a camping trip. Her car has a rate of fuel consumption of 8 \text{ km/L}.

a

How much fuel is consumed on the trip? Give your answer in decimal form.

b

Amy's tank can hold 49 litres of fuel. How many times will she have to refuel? Your answer must be a whole number.

22

A new hybrid car uses only 100\text{ mL} of fuel to travel 500\text{ m} in test conditions. Sean is considering purchasing it but wants to make sure it is more fuel efficient than his current car. He conducts his own test by recording his fuel consumption in his current car. In a month he travelled 1513.4\text{ km} and used 322\text{ L} of fuel.

a

What is the fuel economy in km/L of the hybrid car?

b

What is the fuel economy in km/L of Sean’s current car?

c

According to these two tests, is the hybrid car more fuel efficient than Sean’s current car?

d

Should Sean feel confident that this new car will save him money on fuel in the long run? Explain your answer.

23

Cho is moving house and needs to move some furniture. She found information about the efficiency of towing with her car. The information is presented in the table below.

Average speed and towDistance travelled (km)Fuel consumed (litres)
100\text{ km/hr with no tow}15413
80\text{ km/hr with no tow}504
100\text{ km/hr with tow}9810
a

How much fuel will Cho require to tow her furniture 235\text{ km} at an average speed of 100 \text{ km/h}? Round your answer in litres to two decimal places.

b

How much extra fuel will her car consume when towing the furniture, compared with making the same trip at the same average speed with no tow?

c

Cho's friend owns a truck and tells her they can move her furniture for a fee of \$6, as long as she drives ahead of them and leads the way. If fuel prices are 154\text{c} per litre, is it cheaper for Cho to drive ahead and lead her friend or tow the furniture herself?

24

Sally wants to fill up her car's fuel tank. It has a capacity of 50\text{ L} and currently has 5\text{ L} left in the tank. The two closest petrol stations are OzPet, which has petrol for 153.3\text{c} and is 16 kilometres away, and DinoFuel, which has petrol for 144.3\text{c} and is 31 kilometres away. Sally’s car has a fuel consumption of 0.03\text{ L/km}.

a

How much fuel will Sally use if they drive to OzPet?

b

How much fuel will Sally use if they drive to DinoFuel?

c

How much will filling her tank up cost her at each petrol station?

OzPetDinoFuel
\text{Cost to fill to } 50\text{ L}
d

What is the cost of the fuel that Sally would use getting back from each service station?

OzPetDinoFuel
Cost of fuel on return trip
e

Which service station should Sally choose to fill up her tank?

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MS2-12-3

interprets the results of measurements and calculations and makes judgements about their reasonableness, including the degree of accuracy and the conversion of units where appropriate

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