TIME & WORK.pptx

INTRODUCTION:
The questions on Time & Work are
based on the following factors:
• Number of days taken by
different persons with respect to
the working schedule.
• Number of days with number of
hours per day by different
persons with respect to the
working schedule.
• Efficiency of the persons with
respect to the working schedule.

SOME IMPORTANT POINTS:
1.Number of men α
2.Efficiency α
ys
Numberofda
1
ys
Numberofda
1

CONVENTIONAL
METHOD:
If A can do a total work of
1 unit in X days.
Then 1 day A can do 1/x of
the work.
As the calculation is
based on fraction which
will take time.

METHOD TO SOLVE BY USING L.C.M. CONCEPT
• As the total work is same for
each persons, take the L.C.M. of
the number of days as the total
parts of the work.
• Find out the one day work of the
persons by dividing the L.C.M.
with respect to the number of
days taken by them .
• Then find out the required
number of days taken by them
according to the working
schedule.

Example:
A can do a piece of work
in 30 days and B can do
the same work in 45 days.
If they work together, the
work will be completed in
how many number of
days?

Example:
A can do a piece of work
in 12 days, B in 15 days &
C in 20 days respectively.If
they work together the
work will be completed in
how many days?

Example:
A & B can do a piece of
work in 12 days, B & C in
15 days and C & A in 20
days respectively.If they
work together the work
will be completed in how
many days?

SOME IMPORTANT QUESTIONS
Question:1
A and B complete a work
in 6 days. A alone can do it
in 18 days. If B works
alone, he can do the work
in how many days?
A. 6days B. 8 days
C. 9 days D. 12 days

Question:2
A can do a piece of work in 12
days. B can do it in 18 days.
With the assistance of C they
completed the work in 6 days.
Find in how many days can C
alone do it?
A. 24days B. 30 days

Question:3
A and B can do a piece of
work in 8 days and 12 days
respectively. They work
together for 2 days and then A
leaves the work. In how many
days after that B will complete
the work alone?
A. 4 days B. 5 days
C. 6 days D. 7 days

Question:4
days. He works at it for 5 days
and then B finishes it in 12
days. In what time can A and B
together do it?
A. 8 days
B. 8 1/3 days
C. 8 2/3 days
D. 8 8/9days

Question:5
A and B can do a piece of
work in 12 days, B and C
in 15 days, C and A in 20
days. How long will C take
to do it?
A. 20 days B. 30 days

Question:6
days; B can do the same in 24
days. A started alone but left
the work after 8 days, then B
worked at it for 6 days. C
finished the remaining work in
11 days. C alone can do the
whole work in how many
days?
C. 36days D. 40 days

Question:7
days and B in 15 days. They
began the work together but 6
days before the completion of
the work, A leaves the work.
The work was completed in
how many days?
C. 15 days D. 11 3/7 days

Question:8
A and B can do a job together
in 7 days. A is 7/4 times as
efficient as B. The same job
can be done by A alone in:
(a) 28/3 days
(b) 11 days
(c) 49/4 days
(d) 49/3 days

Question:9
A and B can complete a work in 15
days and 10 days respectively.
They started doing the work
together but after 2 days B had to
leave and A alone completed the
remaining work. The whole work
was completed in:
(a) 8 days
(b) 10 days
(c) 12 days
(d) 15 days

Question:10
A, B and C together can complete a
piece of work in 10 days. All the
three started working at it together
and after 4 days A left. Then B and
C together completed the work in
10 more days. A alone could
complete the work in:
(a) 15 days
(b) 16 days
(c) 25 days
(d) 50 days

Question:11
Ram and Shyam together do a work
in 8 days. Both of them began to
work. After 3 days Ram fell ill.
Shyam completed the remaining
work in 15 days. In how many days
can Ram complete the whole work?
(a) 12
(b) 17
(c) 16
(d) 15

Question:12
Two workers A and B were
employed for a work. A takes 8
hour more than the time taken by A
and B together. If B takes 4.5 hours
more than the time taken by A and
B together, how long would A and B
take together to complete the
work?
(a) 7 hours
(b) 6 hours
(c) 5 hours
(d) 4 hours

Question:13
A takes thrice as long to do a
piece of work, as B takes. A
and B together can do a piece
of work in 7.5 days. A alone
can do in:
(a) 30 days
(b) 40 days
(c) 50 days
(d) 60 days

Question:14
A is thrice as efficient as B
and is, therefore, able to finish
a piece of work in 12 days
earlier than B. In how many
days A and B will finish it
together?
A. 3 1/2 days B. 3 4/5 days
C. 4days D. 4.5 days

Question:15
After working for 8 days, Amar
finds that only 1/4th of the
work has been done. He
employs Samar who is 80% as
efficient as Amar. How many
days more would Samar take
to complete the work?
C. 40 days D. 45days

Question:16
A is twice as good a work
man as B and together
they finish the work in 8
days. In how many days A
alone can finish the work?
A. 8 B. 10
C. 12 D. 15

Question:17
If 3men or 4 women can
do a piece of work in
31days, then 4men & 5
women can do the same
work in how many days?
A.9days B.10days
C.12days D. 15days

Question:18
If 2 men or 3 women or 4
boys can do a piece of
work in 49days, then
3men, 4 women & 5 boys
can do the same work in
how many days?
A.10 B.12
C.12.5 D.15

Question:19
days and B in 15 days. If they
work on alternate days and A
starts the work, it will be
completed in how many days?
A.13days B.13 ¼ days
C.13 2/5 days D.14days

Question:20
days, B in 24 days & C in 36
days. If A is assisted by B & C
on alternate days, the work
will be completed in how
many days?
A.11days B.12days
C.13days D.14days

Question:21
Two workers A and B assigned for
a certain work. A worked for 3 days
and B for 5 days and they did half
the work. Then they worked
together for another 3 days and
they had to do (1/30) th of the work.
How many days does B take to
complete the work, if he worked
alone?

Question:22
A and B can do a job in X
days. If A works alone he
can do the job in X + 8
days. If B works alone he
completes the same job in
X+ 18 days. What is X?
A. 10 B. 12
C. 15 D. 18

Question:23
A alone can do a piece of work
in 12 days and B alone can do
it in 15 days. A and B
undertook to do it for Rs.1080.
With the help of C they
finished it in 5 days. How
much is paid to C?
A. Rs.240 B. Rs.250
C. Rs.270 D. Rs.300

Question:24
A does 1/3rd as much
work as B in 2/3rd of the
time. If work together they
can do a work in 12 days,
then A can do the same
work in how many days?
A.20days B.27days
C.32days D.36days

Question:25
A & B can do a piece of work
in 12 days and B & C in 16
days respectively. After A has
been working for 5 days and B
for 7 days, C finishes it in 13
days. In how many days A can
do the work alone?
A.16 days B.24 days
C.32 days D.48days

Question:26
A is 60% more efficient
than B and together can
do a piece of work in
24days. If A works alone
the work will be completed
in how many days?
A.26days B.33days
C.39days D.42days

Question:27
A can complete a piece of work in 4
days. B takes double the time taken
by A, C takes double that of B, and
D takes double that of C to
complete the same task. They are
paired in groups of two each. One
pair takes two-thirds the time
needed by the second pair to
complete the work. Which is the
first pair?
A.A & B B.A & C
C.B & C D.A & D

Question:28
A takes as much time as B & C
together take to finish the job.
A & B working together finish
the job in 10 days. C alone can
do the same job in 15 days. In
how many days can B alone
do the same work?
A.30 days B.45 days
C.60 days D. 75 days

Question:29
A started a work and left after
working for 2 days. Then B was
called and he finished the work in 9
days. Had A left the work after
working for 3 days, B would have
finished in 6 days. In how many
days can B working alone, finish
the whole work?
A.6 days B.9days
C.12 days D.15 days

Question:30
One man, 3 women and 4 boys
can do a work in 96 hours; 2
men and 8 boys can do it in 80
hours; and 2 men and 3
women can do it in 120 hours.
In how many hours can 5 men
and 12 boys do it?
A.46 B. 43 7/11
C.48 D.48 2/3

Question:31
There are two candles of equal
lengths and of different thickness.
The thicker one lasts of six hours.
The thinner lasts 2 hours less than
the thicker one. Rajesh lights the
two candles at the same time.
When he went to bed he saw the
thicker one is twice the length of
the thinner one. How long ago did
Rajesh light the two candles?
A. 1 hr B. 2 hrs
C. 3 hrs D.4 hrs

Question:32
To do a piece of work, B takes
3 times as long as A & C
together and C twice as long
as A & B together. If the three
together can complete the
work in 10 days, how long
would A take by himself?
A.18days B.20days
C.24days D.27days

Question:33
Aman, Suman & Raman can do a
piece of work in 18 days, 27 days
and 36 days respectively. They start
working together. After working for
4 days, Aman goes away and
Suman leaves 7 days before the
work is finished. Only Raman
remains at work from beginning to
end. In how many days was the
whole work done?

Question:34
12 men take 28 days of 8
hours each to do a piece of
work. How many days of 6
hours each would 27 women
take to do the twice the work.
If 3 women do as much work
as 2 men?
C. 60 days D.64 days

Question:35
A, B and C together can complete a
piece of work in 12 days. All the
three started working at it together
and after 4 days A left. Then B and
C together completed the work in
12 more days. A alone could
complete the work in how many
days?

Question:36
Two workers A and B were
employed for a work. A takes
8days more than the time
taken by A and B together. If B
takes 18days more than the
time taken by A and B
together, how long would A
and B take together to
complete the work?
A. 8days B. 10days
C. 12days D. 15days

Question:37
45 men can complete a work
in 24 days. Six days after
started the work, 15 men left
the group. In how many days
can the remaining work be
completed?
C. 27 days D. 30days

Question:38
A certain number of men can
do a work in 65 days working
6 hours a day. If the number of
men decreased by one-fourth,
then for how many hours per
day should they work in order
to complete the work in 40
days?
A. 14 B. 13
C. 15 D. 16

Question:39
Some persons can do a piece
of work in 12 days. Two times
the number of such persons
will do half of that work in:
(a) 6 days
(b) 4 days
(c) 3 days
(d) 12 days

Question:40
Twelve men and six women
together can complete a piece of
work in four days. The work done
by a woman in one day is half of
the work done by a man in one day.
If 12 men and six women started
working and after two days, six
men left and six women joined,
then in how many more days will
the work be completed?
A. 1.5days B. 1 day
C. 2 days D. 2.5days

Question:41
12 men can complete a piece of
work in 4 days, while 15 women can
complete the same work in 4 days.
6 men start working on the job and
after working for 2 days, all of them
stopped working. How many
women should be put on the job to
complete the remaining work, if it
so to be completed in 3 days?
A. 15 B. 18
C. 22 D. 24

Question:42
Amar and Barun are working on an
assignment. Amar takes 6 hrs to
type 36 pages on a computer, while
Barun takes 8 hrs to type 40 pages.
How much time will they take,
working together on two different
computers to type an assignment
of 80 pages?
A. 7 hrs 30 min B. 8 hrs
C. 8 hrs 15 min D. 8 hrs 25 min

Question:43
6 men can complete a piece of work in 12
days. 8 women can complete the same
piece of work in 18 days where as 18
children can complete the work in 10 days.
4 men, 12 women and 20 children work
together for 2 days. If only men were to
complete the remaining work in 1 day, how
many men would be required totally?
A. 36
B. 24
C. 18
D. Cannot be determined.

Question:44
3 men and 4 boys do a piece
of work in 8 days, while 4 men
and 4 boys do the same work
in 6 days. In how many days
will 2 men and 4 boys finish
the work?
A.6 days B.9 days

Question:45
A garrison of 3300 men has
provisions for 32 days, when given
at a rate of 850 grams per head. At
the end of 7 days reinforcement
arrives and it was found that now
the provisions will last 8 days less,
when given at the rate of 825 grams
per head. How, many more men
arrived?
A. 1500 B.1600
C. 1700 D.None of these

Question:46
Grass in a lawn grows equally
thick and in a uniform rate. If it
lasts for 24 days for 70 cows
and 60 days for 30 cows, then
how many cows will eat the
whole grass in 96 days?
A.18 B.20
C.21 D.24

Question:47
If 12 oxen or 16cows can
eat the grass of a field in
30days, then in how many
days will 3 oxen and 2
cows eat the same grass?
A. 40 B.60
C.80 D.100

Question:48
39 men can complete a
work in 12 days, working 5
hours a day. In how many
days will 30 men, working
6 hours a day, complete
twice the work?
A. 10 B.13
C.20 D.26

Question:49
If 20 untrained workers can do a
work in 12 days of 8 hr. each, how
many trained workers can do 50%
more work in 15 days of 10 hr each
? (It may be assumed that it takes 3
trained workers to do the work of 4
untrained workers)
A. 10 B. 12
C. 15 D. 18

Question:50
A builder decided to build a
farmhouse in 35 days. He employed
30 men in the beginning and 30
more after 30 days and completed
the construction in stipulated time.
If he had not employed the
additional men, how many days
behind the schedule would it have
been finished?
A.3days B.4days
C.5days D.6days

Question:51
12 men can complete a piece of
work in 4 days, while 15 women can
complete the same work in 4 days.
6 men start working on the job and
after working for 2 days, all of them
stopped working. How many
women should be put on the job to
complete the remaining work, if it
so to be completed in 3 days?
A. 15 B. 18
C. 22 D. 24

Question:52
12 men take 28 days of 8
hours each to do a piece of
work. How many days of 6
hours each would 27 women
take to do the twice the work.
If 3 women do as much work
as 2 men?

Question:53
A certain number of men can
do a piece of work in 12 days.
But due to 8 men more the
work gets completed in 3 days
less. How many original men
are there?
A.15 B.18
C.21 D.24

Question:54
A contractor has to complete a
farm house in 12 days. He
employed 30 men in the beginning
and after 9 days another 15 more
men so that the work is completed
in the stipulated time. If he had not
employed the additional men, the
work would have been completed
in how many days behind the
schedule?
A.1day B.1.5days
C.2days D.2.5days

Question:55
A contractor under take to build a
road of 15kms in 12 days. He
employed 20men in the beginning
and after 6 days he observed that
only 6 kms of road has been
completed. Then in order to
complete the work in the stipulated
time how many extra men are
needed?
A.8men B.10men
C.12men D.15men

Question:56
If 33 untrained labourers can do a
work in 15 days of 12 hr. each, how
many trained labourers can do 50%
more work in 11 days of 9 hr each ?
(It may be assumed that it takes 2
trained labourers to do the work of
5 untrained labourers)
(a)42
(b)36
(c) 90
(d) 100

Question:57
Ronald and Elan are working on an
assignment. Ronald takes 6 hours
to type 32 pages on a computer,
while Elan takes 5 hours to type 40
pages. How much time will they
take, working together on two
different computers to type an
assignment of 110 pages ?
(a) 7 hours 30 minutes
(b) 8 hours
(c) 8 hours 15 minutes
(d) 8 hours 25 minutes

Question:58
39 persons can repair a road
in 12 days, working 5 hours a
day. In how many days will 30
persons, working 6 hours a
day, complete the work ?
(a) 10
(b) 13
(c) 14
(d) 15

P can do a piece of work in 5 d
ays of 8 hours each and Q can
do in 4 days of 6 hours each.
How long will they take do it w
orking 5 hours a day?
a. 2 days
b. 3 days
c. 4 days
d. 5 days

TIME & WORK.pptx

Recommended

Recommended

More Related Content

Similar to TIME & WORK.pptx

Similar to TIME & WORK.pptx (20)

More from 104SIMANJEETKALIA

More from 104SIMANJEETKALIA (6)

Recently uploaded

Recently uploaded (20)

TIME & WORK.pptx