EduSahara™ Worksheet

EduSahara™ Assignment

Name : Working Capacity Problems

Chapter : Direct and Inverse Proportions

Grade : SSC Grade VIII

License : Non Commercial Use

Question 1

1.

A can do a work in
6

days
and B can do the same work in
8

days
.

If they work together, in how much time is the work completed?

(i)

3

1
3

days
(ii)

3

3
5

days
(iii)

3

5
7

days
(iv)

3

3
7

days
(v)

3

1
7

days

Question 2

2.

A can do a work in
4

days
.
With the help of B, A can do the same work in

2

6
11

days
.
In how many days can B alone do the work?

(i)

7

days
(ii)

5

days
(iii)

9

days
(iv)

6

days
(v)

8

days

Question 3

3.

A and B can do a work in
7

days
, B and C can do in
6

days

and C and A can do in
6

days
.
If all three work together,

in how many days will the work be completed?

(i)

4

1
5

days
(ii)

4

1
3

days
(iii)

4

3
5

days
(iv)

3

4
5

days
(v)

4

1
7

days

Question 4

4.

A and B can do a piece of work in
11

days
and
11

days
respectively.

They work together for
4

days
and then B leaves.

In how many days the whole work is completed?

(i)

8

days
(ii)

5

days
(iii)

9

days
(iv)

7

days
(v)

6

days

Question 5

5.

6
men take
3

days
to complete a work.

How much work is done by one man in one day?

(i)

(
-1
18
)
(ii)

1
6
(iii)

1
3
(iv)

1
18

Question 6

6.

In how many days can
12
men do the same work, working
4
hours a day?

(i)

24

17
24

days
(ii)

24

19
22

days
(iii)

24

19
26

days
(iv)

24

19
24

days
(v)

24

7
8

days

Question 7

7.

In how many days can
4
men and
4
women complete the same work?

(i)

18

days
(ii)

14

days
(iii)

16

days
(iv)

13

days
(v)

15

days

Question 8

8.

7
skilled men can do a work in
3

days
.

3
unskilled men can do the same work in
8

days
.

In how many days can
2
skilled and
4
unskilled men do the same work?

(i)

3

9
13

days
(ii)

3

7
11

days
(iii)

3

9
11

days
(iv)

4

days

Question 9

9.

A, B and C together can do a work in
30
31

days
.

If A and C can do the work in
2

days
and
5

days
respectively,

in how many days can B alone do the work?

(i)

3

days
(ii)

6

days
(iii)

0

days
(iv)

4

days
(v)

2

days

Question 10

10.

A certain number of men can do a work in
48

days
.

How many men are required to complete the work in
54

days
?

(i)

34
(ii)

29
(iii)

32
(iv)

31
(v)

33

Question 11

11.

A and B can do a work in
4

days
and
7

days
respectively.

They together undertook to do a piece of work for
₹4400.00
.

What is the share of B?

(i)

₹1599.00
(ii)

₹2800.00
(iii)

₹2798.00
(iv)

₹1601.00
(v)

₹1600.00

Question 12

12.

A and B can do a work in
14

days
and
25

days
respectively.

If they work on alternate days and A begins the work,

in how many days can it be completed?

(i)

18

days
(ii)

15

days
(iii)

19

days
(iv)

20

days
(v)

17

days

Question 13

13.

Person P is
nine times
as good a workman as Person Q.

They can do a work together in
8

1
10

days
.

In how many days Q alone can do the work?

(i)

78

days
(ii)

83

days
(iii)

81

days
(iv)

80

days
(v)

82

days

Question 14

14.

P and Q can do together a piece of work in
3

11
15

days
.

After they have worked together for
2

days
,
P stops.

Q completes the remaining work in
3

1
4

days
.

In how many days can Q alone do the work?

(i)

9

days
(ii)

8

days
(iii)

5

days
(iv)

6

days
(v)

7

days

Question 15

15.

A can do a piece of work in
14

hr
and B in
14

hr
.

A does the work for
3

hr
before B join A to work together.

Again after
3

hr
C joins both A and B to complete the work in
1

1
24

hr
.

In how much time C alone can do the work?

(i)

6

hr
(ii)

3

hr
(iii)

4

hr
(iv)

5

hr
(v)

7

hr

Question 16

16.

A, B, C, D, and E can do a piece of work in

Who has the greatest capacity to do work?

(i)

C
(ii)

E
(iii)

A
(iv)

B
(v)

D

Question 17

17.

A, B, C, D, and E can do a piece of work in

Who has the greatest capacity to do work?

(i)

C
(ii)

E
(iii)

A
(iv)

D
(v)

B

Question 18

18.

A and B can do a work in
4

hr
,
B and C can do it in
3

3
7

hr

and C and A can do it in
3

3
7

hr
.
In how much time can

each of them do it seperately?

(i)

(

9

hr

,

9

hr

,

6

hr

)
(ii)

(

8

hr

,

8

hr

,

7

hr

)
(iii)

(

8

hr

,

9

hr

,

6

hr

)
(iv)

(

8

hr

,

8

hr

,

6

hr

)
(v)

(

9

hr

,

8

hr

,

6

hr

)

Question 19

19.

A and B can do a work in
4

14
19

days
,
B and C can do it in
5

11
23

days

and C and A can do it in
5

5
6

days
.
In how much time can

each of them do it seperately?

(i)

(

10

days

,

9

days

,

15

days

)
(ii)

(

10

days

,

10

days

,

14

days

)
(iii)

(

10

days

,

9

days

,

14

days

)
(iv)

(

11

days

,

9

days

,

14

days

)
(v)

(

11

days

,

10

days

,

14

days

)

Question 20

20.

A can do a piece of work in
5

hr
,
B can do the work in
12

hr

and C in
9

hr
respectively.
In how much time can they do it together?

(i)

2

36
71

hr
(ii)

2

38
73

hr
(iii)

2

40
71

hr
(iv)

2

38
71

hr
(v)

2

38
69

hr

Question 21

21.

A can do a piece of work in
15

days
,
B can do the work in
6

days

and C in
7

days
respectively.
In how much time can they do it together?

(i)

2

52
79

days
(ii)

2

50
79

days
(iii)

2

52
81

days
(iv)

2

52
77

days
(v)

2

54
79

days

Question 22

22.

A and B together can do a piece of work in
5

1
7

hr
.

They work together for
1

hr
and then A leaves.

B completes the remaining work in
9

2
3

hr
.

In how much time can each of them do the work seperately?

(i)

(

9

hr

,

12

hr

)
(ii)

(

10

hr

,

12

hr

)
(iii)

(

9

hr

,

11

hr

)
(iv)

(

8

hr

,

12

hr

)
(v)

(

9

hr

,

13

hr

)

Question 23

23.

A and B together can do a piece of work in
3

3
14

days
.

They work together for
1

day
and then A leaves.

B completes the remaining work in
3

4
9

days
.

In how much time can each of them do the work seperately?

(i)

(

9

days

,

6

days

)
(ii)

(

9

days

,

4

days

)
(iii)

(

8

days

,

5

days

)
(iv)

(

9

days

,

5

days

)
(v)

(

10

days

,

5

days

)

Question 24

24.

A can do
2
14
of a work in
1

5
7

hr
.

He works for
2

hr
when B joins him.

They work together and complete the work in
4

6
11

hr
.

In how much time, B alone can do the work?

(i)

8

hr
(ii)

11

hr
(iii)

9

hr
(iv)

10

hr
(v)

12

hr

Question 25

25.

A can do
6
7
of a work in
10

2
7

days
.

He works for
6

days
when B joins him.

They work together and complete the work in
2

8
11

days
.

In how much time, B alone can do the work?

(i)

9

days
(ii)

10

days
(iii)

11

days
(iv)

8

days
(v)

12

days

Question 26

26.

A can construct
6
7
of a wall in
4

2
7

hr
.

B can construct
5
6
of the wall in
8

1
3

hr
.

C can construct
2
8
of the wall in
2

1
2

hr
.

If all three work together, in how much time will they

construct
2
9
of the wall?

(i)

1
3

hr
(ii)

5
7

hr
(iii)

7
9

hr
(iv)

5
11

hr
(v)

5
9

hr

Question 27

27.

A can construct
7
8
of a wall in
8

3
4

days
.

B can construct
7
10
of the wall in
5

3
5

days
.

C can construct
3
5
of the wall in
4

4
5

days
.

If all three work together, in how much time will they

construct
5
10
of the wall?

(i)

1

1
7

days
(ii)

1

3
5

days
(iii)

1

3
7

days
(iv)

1

5
7

days
(v)

1

1
3

days

Question 28

28.

A, B and C can together do a piece of work in
2

6
11

hr
.

B and C can do it in
4

hr
.

C alone can do it in
8

hr
.

In how much time A and C can do the work together?

(i)

3

11
13

hr
(ii)

3

3
5

hr
(iii)

3

11
17

hr
(iv)

3

13
15

hr
(v)

3

11
15

hr

Question 29

29.

A, B and C can together do a piece of work in
2

8
31

days
.

B and C can do it in
3

1
3

days
.

C alone can do it in
5

days
.

In how much time A and C can do the work together?

(i)

3

1
12

days
(ii)

2

3
4

days
(iii)

2

11
14

days
(iv)

3

1
10

days
(v)

2

11
12

days

Question 30

30.

A sum of
₹1414.00
will be given to do a work.

A and B can do it in
3

15
16

hr
.

How much A, B and C respectively will get if all three work together?

(i)

(

₹490

,

₹630

,

₹294

)
(ii)

(

₹490

,

₹294

,

₹630

)
(iii)

(

₹294

,

₹630

,

₹490

)
(iv)

(

₹630

,

₹294

,

₹490

)
(v)

(

₹294

,

₹490

,

₹630

)

Question 31

31.

A sum of
₹2015.00
will be given to do a work.

A and B can do it in
4

4
17

days
.

How much A, B and C respectively will get if all three work together?

(i)

(

₹819

,

₹728

,

₹468

)
(ii)

(

₹819

,

₹468

,

₹728

)
(iii)

(

₹468

,

₹819

,

₹728

)
(iv)

(

₹468

,

₹728

,

₹819

)
(v)

(

₹728

,

₹468

,

₹819

)

Assignment Key