Page 24 - Mathematics_Form_Two

Rates and variations
13. A truck travels 800 km and uses 90
litres of diesel.
(a) Calculate the fuel consumption
rate in litres per 100 km.
(b) How much diesel will the truck
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use to travel 600 km at the
Mathematics for Secondary Schools 14. State whether distance and speed
same rate?
(c) If the truck travels 1,300
km, how much diesel will it
consume?
vary directly or inversely. Give
reason.
15. If x and y vary inversely, use the
given pair of values to find an
equation which in each case relate
the variables:
(a) x = 6, y = 4
(b) x = 8, y = 12
1 __
(c) x = 10, y =
3 process the order?
16. A group of 10 volunteers can pack
400 boxes of food in 5 hours. If the
organization decides to pack 600
boxes and increases the number of
volunteers to 12, how many hours
will it take to pack all 600 boxes?
17. A publishing company needs to
print 2,000 copies of a book. With
4 printers, the task is completed in
10 days. If the company decides
to print 3,000 copies and uses 6
printers, how many days will it take
to complete the printing?
18. A logistics team of 8 members
can package and ship 400 orders
in 5 days. If the number of team
members is increased to 12 and the
18
MATHEMATIC F2 v5.indd 18
MATHEMATIC F2 v5.indd 18
number of orders to be shipped is
raised to 600, calculate the number
of days needed to complete the
work.
19. The intensity I of light, in lux,
on a surface varies directly with
distance d from the light source. A
the power P in watts of light and
inversely with the square of the
photographer is setting up lighting
for a photoshoot. If the light intensity
is 400 lux when a light source of 66
watts is placed 2 m away, what will
be the intensity when a light source
of 100 watts is placed 3 m away?
20. Machine A can produce 800 parts
per hour, while Machine B can
produce 1,000 parts per hour. There
is an order of 24,000 parts.
(a) How long will the machines
take working together to
(b) Machine B was on preventive
maintenance, so Machine A
had to work alone for the first 5
hours before Machine B joins
in. How many more hours will
they have to work together to
finish the job?
21. Pipe A can fill a pond in 8 hours,
while Pipe B can fill it in 3 hours.
However, Pipe B has a defect that
causes it to lose water at the rate
of 1 litre every 20 minutes while
filling. If the pond has a capacity of
200 litres and both pipes are opened
simultaneously, how long will it
take to fill the pond?
Student's Book Form Two
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11/10/2024 20:11:11