SUPPLEMENTARY PROBLEMS:
Topic: Age Problem
1. A man is 25 years old and his son is 5.In how many years will the father be three
times as old as the son?
a.25
b.3
c.5
d.9
2. Ten years ago, Boyet was three times as old as Joy. Now he is 10 more than twice
as old as Joy. Find their present ages.
a. 40 and 20
b.30 and 70
c.20 and 40
d.20 and 60
3. Mara is 5 years older than her sister Clara. In 10 years ago Mara was twice as old as
Clara. How old is Mara?
a.10
b.20
c.30
d.40
4. Kaye is now thrice as old as Koy. Five years ago Kaye was 5 times as old as Koy.
How old is Kaye.
a.10
b.20
c.30
d. none of
these
5. Olie is three times as old as Bong. Four years ago, he was four times as old as Bong
was at that time. How old is Bong?
a.12
b.14
c.13
d.16
6 .A man is 41 years old and his son is 9. In how many years will the father be three
times as old as the son?
a.5
b.6
c.7
d.8
7. Two years ago, a boy was 5/4 as old as his sister. In 13 years, he will be 10/9 as old
as his sister. How old is the boy?
a.6
b.17
c.12
d.21
8. Hary is 1/3 as old as Ron and eight years younger than Hermoine. Find the sum of
their ages if Hary is 8 years old.
a.8
b.24
c.48
d.16
Topic: Work Problem
1 .A tank can be filled by three pipes separately in 20, 30 and 40 minutes respectively.
In how many times can it be filled by the three pipes acting together?
a.10.69 mins
b.1.23 mins
c.9.23 mins
d.8.19 mins
2 .A and B working together can complete a job in 30 hrs. A works twice as fast as B.
How many days would it take A working alone to complete the job?
a.45 hrs
b.20 hrs
c.15hrs
d.8 hrs
3 .A farmer can plow a certain field twice as fast as his son. Working together, it would
take them 4 days to plow the field. How long would it take the son to do it alone?
a.5 days
b.11 days
c.12 days
d.15 days
4 .A mason can do a given job in 4 hrs. His helper can do the same job in 9 hrs. The
mason begins working and after 1hr is joined by his helper. In how many hrs will they
complete the job?
a.2.08 hrs
b.4.87 hrs
c.2.65 hrs
d.1.986 hrs
5 .A would require 45 hrs to varnish all the picture frames produced during a particular
day. B who takes 2 minutes more to varnish each frame will require 60 hrs. How many
frames are there?
a.200
b.650
c.450
d.150
6. Two pipes can fill up a tank alone separately in 3 and 2 hrs respectively. When the
third pipe is used to help with the first two pipes, the tank can be filled in 1hr. How long
can the third pipe fill the tank alone?
a.8 hrs
b.2 hrs
c.5 hrs
d.6 hrs
7 .A contractor estimated that a project will be finished by his crew in 60 days. After the
crew worked for 40 days, 38 workers stopped working. If the remaining workers will
continue at the same rate, they will be delayed by 5 days. How many workers are there
in the original crew?
a.200
b.100
c.190
d.180
8. A tank can be filled in 48 minutes by two pipes running simultaneously. By the larger
pipe it can be filled in 5 minutes less time than by the smaller. Find the time required for
the larger pipe to fill it.
a.109.8 min
b.45.2 min
c.93.6 min
d.90.65 min
9. A had wrapped 500 pcs. of candies, when B helped him and together they wrapped
1260 more. A worked for a total of 24 minutes. If A worked for 24 min. and B for 12
minutes, they will be able to wrap 1680 candies. ||on the average, how many candies
can A wrap per minute?
a.10
b.50
c. 60
d.70
10 .A pipe can fill a tank in 4hrs if the drain is open. If the pipes run with the drain open
for 1hr and the pipe runs with the drain open for 1hour and the pipe is then closed, the
tank will be emptied in 40 minutes more. How long does it take the pipe to fill the tank if
the drain is closed right at the start of filling?
a.1.6 hrs
b.15 hrs
c.12.4 hrs
d.24 hrs