ALGEBRA PROBLEMS
VARIATION PROBLEMS
The displacement of a body falling from rest
varies directly as the square of the time of fall.
If it falls 144 m in 3 sec, compute the distance
it has travelled after 8 seconds.
A. 1020 m
B. 1024 m
C. 1028m
D. 1032 m
The period of a simple pendulum varies directly
as the square of its length. A pendulum which
is 9 cm long has a period of ½ sec, compute
the length of a pendulum whose period is 1 ½
sec.
A. 15.59 cm
B. 18.54 cm
C. 12.46 cm
D. 10.84 cm
The diameter of the rear and the front wheels of
a pushcart are 30 and 18 inches, respectively.
In what distance in feet would the front wheel
make 20 revolutions more than the rear
wheels?
A. 254.71 ft.
B. 842.61 ft.
C. 235.62 ft.
D. 475.42 ft.
The number of horsepower developed by an engine
varies jointly as its piston displacement of and its
speed. An engine with piston displacement of
320 cu. in. develops 144 hp at a speed of 3600
rpm. Find the horsepower developed by an
engine with piston displacement of 280 cu. in.
when its speed is 3000 rpm.
A. 105 hp
B. 107 hp
C. 109 hp
D. 111 hp
If the temperature of a gas remains constant,
the pressure varies inversely as the volume. A
gas at a pressure of 16 psi and having a
volume of 500 cu. ft. is compressed to a
volume of 25 cu. ft. What is the final pressure
if the temperature remains constant?
A. 310 psi
B. 315 psi
C. 320 psi
D. 325 psi
A group of 35 men can do a certain piece of
work in fifteen 8-hours days. How many men
can do the same work in twenty-four 7-hours
days?
A. 20 men
B. 25 men
C. 30 men
D. 35 men
On a certain truck line, it costs P9.80 to send 5
tons at a distance of 7 miles. How much will it
cost to send 12 tons at a distance of 18 miles?
A. P50.42
B. P53.65
C. P57.86
D. P60.48
If z varies directly as x and inversely as y and if z
= 33 when x = 11 and y = 20, find z, when x = 7
and y = 30.
A. 10
B. 12
C. 14
D. 16
if W varies directly as x and as the square of y
and inversely as the square root of z, and if W
= 1080 when x = 3, y = 12 and z = 16. Find x
when W = 1600, y = 20 and z = 9.
A. 1.2
B. 2.4
C. 3.6
D. 4.8
If y varies inversely as x^3, and y = 5 when x =
3.5, find y when x = 14.
A. 0.086
B. 0.078
C. 0.059
D. 0.097
in two belted wheels the speed varies inversely
as the diameter D. If a 5 ft. diameter wheel
turning 120 rpm is belted to a 3 feet wheel,
what is the speed of 3 feet wheel?
A. 100 rpm
B. 150 rpm
C. 200 rpm
D. 450 rpm