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3.03 Speed and fuel consumption

Worksheet
Speed, distance and time
1

A dog travels 42 \text{ km} in 1.4 hours. At what speed is it travelling?

2

Two animals were tracked and their movements were measured over different time periods. The cat travelled 31.2 \text{ km} in 1.4 hours, while the sugar glider possum travelled 95.8 \text{ km} in 4.2 hours. Which animal travelled more slowly?

3

A round car trip averages 120\text{ km/h} on a motorway for 1.5 hours, then averages 45\text{ km/h} on suburban streets for 2 hours and on average travels at 30\text{ km/h} for 1.5 hours in school zones. What is the total distance the car has travelled?

4

Order these trips in ascending order of average speed:

  • A Driving 180 \text{ km} in 3 hours

  • B Bicycling 132 \text{ km} in 4 hours

  • C A taxi trip that took 15 minutes to travel 11 \text{ km}

5

Calculate the distance travelled by the following vehicles:

a

A car travelling at 60 \text{ km/hr} in 9 hours

b

A car travelling at 70 \text{ km/hr} in 4 hours

c

A bus travelling at 80 \text{ km/hr} in 5 hours

d

A plane flying at an average speed of 360 \text{ km/hr} for:

i

20 minutes

ii

12 minutes

6

Calculate time required for a person to jog 170 \text{ km} at a speed of 10 \text{ km/h}.

7

A worm takes 18 \text{ sec} to travel 25 \text{ cm}. How long does it take the worm to travel one metre?

Fuel economy
8

Xanthe drives 20\,400 \text{ km} around the city each year and has a car with a fuel economy of 0.04 \text{ L/km}. How many litres of fuel does the car consume in a year?

9

A car travels 1650 \text{ km} to Uluru. The car has a fuel economy of 12.8 \text{ L/} 100 \text{ km}. How many litres will the car consume getting to Uluru?

10

Homer is driving 700 \text{ km} to visit his family. The car has a fuel economy of 5 \text{ L/} 100 \text{ km}. How many litres of fuel will Homer require to make this trip?

11

Patricia is considering switching from using premium fuel to E10 in her car. The price of E10 petrol is, on average, 152 cents per litre, and for premium petrol it is 169 cents per litre.

According to the manufacturer's website her car's fuel efficiency using E10 petrol is 4.3 \text{ L/} 100 \text{ km}, while using premium petrol it is 3.9 \text{ L/} 100 \text{ km}.

Patricia drives approximately 17\,200 \text{ km/year}.

a

How much is Patricia's yearly fuel bill if she uses premuim fuel?

b

How much is Patricia's yearly fuel bill if she uses E10 fuel?

c

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

12

Yvonne wants to fill up her car's fuel tank. It has a capacity of 50 \text{ L} and currently has 9 \text{ L} of fuel in the tank. The two closest petrol stations are:

  • OzPet: which has petrol for 153.7 cents and is 19 \text{ km} away

  • DinoFuel: which has petrol for 144.3 cents and is 31 \text{ km} away.

Yvonne's car has a fuel efficiency of 0.03 \text{ L/km}.

a

How much fuel will Yvonne use if she drive to OzPet?

b

How much fuel will Yvonne use if she drive to DinoFuel?

c

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

i

OzPet

ii

DinoFuel

d

What is the cost of the fuel that Yvonne would use for a trip from each service station back to where she started?

i

OzPet

ii

DinoFuel

e

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

13

Caitlin is replacing her V6 engine with a more fuel efficient four cylinder engine. To convert to the new engine will cost \$4400 up front, but will improve the rate of fuel consumption of the car from 11.6 \text{ L/} 100 \text{ km} to 8.4 \text{ L/} 100 \text{ km}. Caitlin travels 11\,400 \text{ km/year}.

a

If the average fuel price for unleaded petrol is 144 cents and both engines run on this petrol, how much money will Caitlin save on fuel costs each year by replacing the engine?

b

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

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Outcomes

1.1.17

convert units of rates occurring in practical situations to solve problems. For example, 1 tablespoon (tbsp) = 4 teaspoons (tsp) or 1 tbsp = 20 ml (Australia) or 15 ml (US and UK)

1.1.18

use rates to make comparisons

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