Units Of Measurement And Applications Worksheet Page 23
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44WORKED EXAMPLE 2
A car used 49 L of petrol on a trip of 500 km.
a
Calculate the number of kilometres the car travels per litre of petrol consumed.
b
Calculate the number of litres of petrol the car consumes per kilometre of travel.
Solve
Think
Apply
This rate is comparing the distance travelled with
Determine the order
500 km
a
_______
Rate =
49 L
the amount of petrol consumed, in that order.
in which the two
= 10.2 km/L
Rate = 500 km on 49 L
quantities are being
= 500 ÷ 49 = 10.2 km/L (1 decimal place)
(1 decimal place)
compared and divide
Car travels 10.2 km for every 1 L of petrol used.
one by the other, in
Rate = 49 L for 500 km
that order.
b
49 L
_______
Rate =
Remember to write
= 49 ÷ 500 = 0.098 L/km
500 km
= 0.098 L/km
the units.
This is the amount of petrol consumed per unit
of distance travelled: car used 0.098 L of petrol
for every kilometre. As this rate is often small,
petrol consumption is usually quoted as the
amount of petrol used per 100 km.
Rate = 0.098 L/km
= 0.098 × 100 L/100 km
= 9.8 L/100 km
EXERCISE 2G
1 a
A 2.5 kg box of soap powder costs $10.90. Complete the following to fi nd the cost per kg.
$□
cost
______
_____
Rate =
=
□ kg
weight
= ____ $/kg or $____/kg
b
Jenny typed 300 words in 5 min. Complete the following to fi nd her typing rate per minute.
□ words
number of words
______________
________
Rate =
=
□ min
time
= ____ words/min
c
A truck used 114 L of petrol on a trip of 600 km. Complete the following to express petrol consumption
in L/km .
□ L
amount of petrol used
__________________
_____
Rate =
=
□ km
distance travelled
= ____ L/km
d
Vicki was paid $82.50 for 6 h work. To calculate her rate of pay, complete the following.
$□
amount earned
____________
____
Rate =
=
□ h
hours worked
= ____ $/h or $____ /h
e
Howard had to pay $55.20 for 120 telephone calls. To calculate the cost per call, complete the following.
$□
total cost
_____________
______
Rate =
=
□ calls
number of calls
= ____ $/call or $____ /call
Chapter 2
Units of measurement and applications
57
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