MAT For CEE Time And Work Key Points Ans Formulae
TIME AND WORK
MAT For CEE Time And Work Key Points Ans Formulae
Key points and Formulae
If "P" can do a piece of work in "n" days,
then P's 1 days work = 1/n
- If P's 1 day's work = 1/n, then A can finish the work in "n" days.
- ▪ Ratio of work done by "P" and "Q" = 3:1
- ▪ Ratio of times taken by "P" and "Q" to
- finish work = 1:3
- If M1 person can do w1 work in D1 days for
- H1 hours and M2 person can do w2 work in D2
- days for H2 hours, then,
- M1D1H1/w1= M2D2H2/w2
1. A is twice as good as B and together they
finish a piece of work in 16 days. The
number of days taken by A alone to finish
work is?
a. 20 b. 21
c. 22 d. 24
2. A can do a piece of work in 9 days. While
B can do it in 12 days. A & B together can
do the same work in
a. 5
1
7
b. 52
7
c. 6
1
7
d. 62
7
3. A and B can together can do a piece of
work in 6 days and A alone can do it in 9
days. The number of days B will take to do
it alone is:
a. 18 b. 24
c. 9 d. 12
4. A can do a piece of work in X days and B
can do the same work in 3X days. To finish
the work together they take 12 days. What
is the value of X?
a. 15 b. 16
c. 20 d. 25
5. A can do a piece of work in 10 days and B
in 20 days. They begin together but A
leaves 2 days before the completion of
work. The whole work will be done in
a. 5 b. 6
c. 8 d. 15
6. Curie and Ruther ford can research a
paper in 45 days and 40 days respectively.
They began to do the work together,
because of health issue curie leaves after
some days and Ruther ford completed the
remaining research in 23 days. The
number days after which curie left the
work?
a. 7 b. 9
c. 10 d. 15
7. A and B can do a piece of work in 18 days.
B and C can do it in 24 days. A and C can
do it in 36 days. Find the time in which A,
B and C, working together can finish
work.
a. 64 b. 60
c. 70 d. 16
8. A, B and C can complete a work in 2 days.
If A does the Job alone in 6 days and B in 5
days. How long will it take for C to finish
the job alone?
a. 6
1
2
b. 71
2
c. 8
1
2
d. 91
2
9. A is 30% more efficient than B. How much
time will they working together take to
complete a job which A alone could have
done in 23 days?
a. 11 b. 12
c. 13 d. 19
10. A is twice of good a workman as B and is
therefore able to finish a piece of work in
30 days less than B. In how many days
they can complete the whole work,
working together?
a. 10 b. 30
c. 20 d. 15
11. K can do 3
4
th of a work in 6 days and J can
do
2
5
th of the same work in 4 days. How
long will they take, if they work together to
finish the work?
a. 4
2
3
b. 43
8
c. 4
1
4
d. 44
9
12. A is thrice as good as B in work. A is able
to finish a job in 60 days less than B. They
can finish the work in how many days,
working together.
a.
37
2 b. 35
2
c.
25
2 d. 45
13. A and B can do piece of work in 45 days
and 40 days respectively. They began to do
the work together but A leaves after some
days and then B completed the remaining
work in 23 days. The number of days in
which total work is completed?
a. 32 b. 23
c. 34 d. 65
14. A and B together complete a piece of work
in T days. If A alone completes the work in
T + 3 days and B alone completes the piece
of work in T + 12 days, what is T?
a. 3
b. 6
c. 12
d. Cannot be determined
15. 10 women can complete a work in 7 days
& 10 children take 14 days to complete the
work. How many days will 5 women and
10 children take to complete work?
a. 7 b. 14
c. 20 d. 5
16. Four man and three women can do a job in
6 days. When five man and six women
work on the same job, the work gets
completed in 4 days. How many days will a
women take to do the job, if she works
alone on it?
a. 25 b. 35
c. 54 d. 64
17. X and Y can complete a work in 12 days
and 16 days respectively. Both works for 3
days and then X lefts the work. In how
many days, Y alone finish the remaining
work?
a. 9 b. 10
c. 30 d. 12
18. 2 men or 3 women can complete a job in 96
days. Then 6 men and 7 women will
complete the same job in how many days?
a. 18 b. 27
c. 20 d. 24
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