# TIME AND WORK IMPORTANT QUESTIONS FOR IBPS CLERK EXAM

1.
A and B can do a piece of work 72 days. B and C
can do it in 120 days. A and C can do in 90 days. In what time A alone can do
it?

A.
80 days C. 100 days

B.

**120 days**D. 150 days
2.
A works twice as fast as B. if both of them can
together, they can finish the work in 12 days. Find the number of days needed
for A to do the work alone.

A.
20 days C.
33 days

B.
22 days

**D.44 days**
3.
6 boys can complete a piece of work in 16 h. in
how many hours will 8 boys complete the
same work ?

A.
10 hours

**C. 12 hours**
B.
8 hours D.
14 hours

4.
If 5 boys take 7 h to pack 35 toys, how many
boys can pack 65 toys in 3 hrs?

A.
26 boys C.
45 boys

B.
39 boys

**D. 65 boys**
5.
A and B together can complete a work in 3 days.
They started together but after 2 days, B left the work. If the work is completed
after 2 more days, B alone could do the work in how many days?

A.

**6 days**C. 5 days
B.
7 days D.
10 days

6.
If 12 men and 18 women can do a piece of work in
14 days. How long will 8 men and 16 women take to finish the work?

A.

**9 days**C. 12 days
B.
13 days D.
45 days

7.
3 men can do a piece of work in 6 days. 5 women
can do the same work in 18 days. If 4 men and 10 women work together, then how
long will take to finish the work?

A.

**3 days**C. 5 days
B.
2 days D.
4 days

8.
If one man or two women or three boys can
finish work in 88 days, then how many days will one man, one women and one boy
together take to finish the same work?

A.
46 days

**C. 48 days**
B.
54 days D.
60 days

9.
There are sufficient food for 800 men for 62 days.
After 56 days, 560 men leave the place. For how many days will the rest of the
food last for the rest of the men?

A.
16 days C.
30 days

B.

**20 days**D. 15 days
10.
A, B and C can do a piece of work in 18 , 24 ,
36 days respectively, they work alternately, first day C, second day B and
third day A, fourth day C and so on. How
many days will be needed to complete the work like this way?

A.
18 days C.
20 days

B.

**24 days**D. 30days**Answers & explanation :**

1.(A+B)’s 1 day’s work = 1/72

(B+C)’s 1 day’s work
= 1/120

(C+A)’s 1 day’s work
= 1/90

2(A+B+C)’s 1 day’s
work

= 1/72+1/120+1/90

-Ă
(A+B+C)’s 1 day’s work = 5+3+4/360X2

= 12/360X2= 1/60

A’s 1 day’s work = (A+B+C)’s 1 day’s work –(B+C)’s 1 day’s work

= 1/60-1/120= 2-1/120

=
1/120

**A alone can finish the work in 120 days.**

2.

let time taken by
B = x

than time taken
by A = 2x

and time taken by
C = 3x

According to the
question,

1/x+1/2x+1/3x=
1/12

1+1/2+1/3 = 1/12

6+3+2/6 =
x/12

11=
x/2

X=
22

**Required number of days = 2x = 2X22 = 44 days**

3. according to the formula,

**M1T1W2 = M2T2W1**

**Here, M1 = 6, M2 = 8, T1 = 16, T2 =?**

W1=W2=
1

6X16X1
=8XT2X1

T2 =
16X6/8 = 2X6

**T2 = 12 hours**

4. According to the formula

Here, M1=5, M=?, T1= 7, T2 = 3,W1 = 35, W2 =
65

Now,
5X7X65= M2X3X35

M2
= 5X7X65/35X3 = 65/3

**65 boys are required**

**5**. (A+B)’s 2day’s work = 2X1/3 = 2/3

A’s 2 days work (1-2/3) = 1/3

B’s 2
days work (2/3-1/3)= 1/3

B’s 1 day work is = 1/6

**B will take 6 day’s to compleate the work alone.**

6. 12 men = 18 women

1 man =
18/12 women

8 men =
18/12X8 = 12 women

According
to the formula,

18X14X1 = (12+16)X D2 X1

D2
= 14X18/28

**= 9 days.**

7. 18 men =
5X 18 = 90 women

1 man =
5 women

4 men +
10 women = 4X5 + 10

=
30 women

According
to the formula,

M1D1W2
= M2D2W1

5X18X1 =
30XD2X1

D2 = 5X
18/ 30 = 3 days

**D2 = 3 days**

8. 1 man = 2
women = 3 boys

1 man +
1 woman + 1 boy

= (3+3/2+1) boys

= 11/2
boys

= then
the basic formula, M1D1 = M2D2

D2 = M1D1/M2

3X2X88
/ 11

**= 48 days**

9. the rest of the food will last for (62-
56) = 6 days if nobody leaves the place.

Thus,
the rest of the food will last for 6 (800/240) days for 240 men left.

Requried
answer = 6X 800/240 = 20 days

**20 days**

**10**work done in frist three days

=
1/18+1/24+1/36

=
4+3+2/72 = 1/8

Time taken
to complete 1/8 part of work = 3 day’s

**Time taken to compleate whole work = 3X8 = 24 days.**

TIME AND WORK IMPORTANT QUESTIONS FOR IBPS CLERK EXAM
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