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Maya’s hybrid uses fuel at the rate of 7.4 L per 100 km for highway driving and 10.2 L per 100 km for urban driving.
She drove a total of 720 km, of which 120 km were urban driving.
Approximately how much fuel did Maya’s car use on the journey?
`B`
`text(Fuel used in urban driving)`
`= 120/100 xx 10.2\ text(L) = 12.24\ text(L)`
`text(Fuel used on highway)`
`= 600/100 xx 7.4\ text(L) = 44.4\ text(L)`
| `:.\ text(Total Fuel)` | `= 12.24 + 44.4` |
| `= 56.64\ text(L) ~~ \approx 57\ text(L)` |
`=> B`
The table compares the fuel costs of a petrol car with an electric car. \begin{array} {|l|l|l|} Jun travels on average 35 000 km per year. How much will he save on fuel costs in a year by using an electric car? (3 marks) --- 6 WORK AREA LINES (style=lined) --- \($4053.70\) \(\text{Petrol car fuel costs}\) \(\text{Litres used}=\dfrac{8.6\times 35\ 000}{100}=3010\text{ L}\) \(\text{Cost of fuel}=3010\times $1.87 = $5628.70\) \(\text{kWh}=\dfrac{18\times 35\ 000}{100}=6300\text{ kWh}\) \(\text{Cost of power}=6300\times $0.25 = $1575\)
\hline
\rule{0pt}{2.5ex} \rule[-1ex]{0pt}{0pt} & \textit{Petrol car} & \textit{Electric car}\\
\hline
\rule{0pt}{2.5ex}\text{Fuel consumption}\rule[-1ex]{0pt}{0pt} & \text{8.6 L/100 km} & \text{18 kWh/100 km} \\ \hline \rule{0pt}{2.5ex}\text{Cost of fuel}\rule[-1ex]{0pt}{0pt} & \text{\$1.87/L} & \text{\$0.25/kWh} \\ \hline \end{array}
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\(\text{Electric car power costs}\)
\(\text{Saving}=$5628.70-$1575=$4053.70\)
The fuel consumption for a car is 6.7 litres/100 km. On a road trip, the car travels a distance of 1560 km and the fuel cost is $1.45 per litre.
What is the total fuel cost for the trip? (2 marks)
`$151.55`
| `text(Total fuel used)` | `=6.7 xx 1560/100` | |
| `=104.52\ text(litres)` |
| `text(Total fuel cost)` | `=104.52 xx 1.45` | |
| `=$151.55` |
A car travels 350 km on 40 L of petrol.
What is its fuel consumption?
`D`
`text(40 litres are used to travel 3.5 × 100 km)`
`text{Fuel consumption (L/100 km)}`
`= 40/3.5`
`= 11.428`
`= 11.4\ text(L/100 km)`
`=> D`
The driving distance from Alex's home to his work is 20 km. He drives to and from work five times each week. His car uses fuel at the rate of 8 L/100 km.
How much fuel does he use driving to and from work each week?
`text(A)`
`text(Total distance travelled each week)`
`= 5 xx 2 xx 20`
`= 200\ text(km)`
`:.\ text(Total fuel used)`
`= 200/100 xx 8\ text(L)`
`= 16\ text(L)`
`=>\ text(A)`
Kate is comparing two different models of car. Car A uses fuel at the rate of 9 L/100 km. Car B uses 3.5 L/100 km.
Suppose Kate plans on driving 8000 km in the next year.
How much less fuel will she use driving car B instead of car A?
A. `text(280 L)`
B. `text(440 L)`
C. `text(720 L)`
D. `text(1000 L)`
`=>\ text(B)`
`text(Fuel used by car)\ A`
`= 8000/100 xx 9`
`= 720\ text(L)`
`text(Fuel used by car)\ B`
`= 8000/100 xx 3.5`
`= 280\ text(L)`
`:.\ text(Fuel saved using car)\ B`
`= 720 – 280`
`= 440\ text(L)`
`=>\ text(B)`
Peta’s car uses fuel at the rate of 5.9 L /100 km for country driving and 7.3 L /100 km for city driving. On a trip, she drives 170 km in the country and 25 km in the city.
Calculate the amount of fuel she used on this trip. (2 marks)
--- 4 WORK AREA LINES (style=lined) ---
`11.855\ text(L)`
`text(Fuel used in country)`
`= 170 xx 5.9/100`
`= 10.03\ text(L)`
`text(Fuel used in city)`
`= 25 xx 7.3/100`
`= 1.825\ text(L)`
`:.\ text(Total fuel used)`
`= 10.03 + 1.825`
`= 11.855\ text(L)`
Xuso is comparing the costs of two different ways of travelling to university.
Xuso’s motorcycle uses one litre of fuel for every 17 km travelled. The cost of fuel is $1.67/L and the distance from her home to the university car park is 34 km. The cost of travelling by bus is $36.40 for 10 single trips.
Which way of travelling is cheaper and by how much? Support your answer with calculations. (2 marks)
--- 4 WORK AREA LINES (style=lined) ---
`text(Motorcycle is $0.30 cheaper per 1-way trip)`
`text(Compare cost of a 1-way trip)`
`text(Motorcycle)`
`text(Fuel used) = 34/17 = 2\ text(L)`
`text(C)text(ost) = 2 xx $1.67 = $3.34`
`text(Bus)`
`text(C)text(ost) = 36.40/10 = $3.64`
`text(Difference) = $3.64\ – 3.34\ = $0.30`
`:.\ text(Motorcycle is $0.30 cheaper per 1-way trip.)`
Heather’s car uses fuel at the rate of 6.6 L per 100 km for long-distance driving and 8.9 L per 100 km for short-distance driving.
She used the car to make a journey of 560 km, which included 65 km of short-distance driving.
Approximately how much fuel did Heather’s car use on the journey?
`B`
`text(Fuel used in short distance)`
`= 65/100 xx 8.9\ text(L) = 5.785\ text(L)`
`text(Fuel used in long distance)`
`= 495/100 xx 6.6\ text(L) = 32.67\ text(L)`
| `:.\ text(Total Fuel)` | `= 5.785 + 32.67` |
| `= 38.455\ text(L)` |
`=> B`