EduSahara™ Worksheet

EduSahara™ Worksheet

Name : Chapter Based Worksheet

Chapter : Time and Work

Grade : ICSE Grade VIII

License : Non Commercial Use

Question 1

1.

A and B can do a work in
23

days
and
12

days
respectively.

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

in how many days can it be completed?

(i)

19

days
(ii)

16

days
(iii)

17

days
(iv)

13

days
(v)

15

days

Question 2

2.

A and B together can do a piece of work in
7

7
29

days
.

They work together for
1

day
and then A leaves.

B completes the remaining work in
12

1
15

days
.

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

(i)

(

15

days

,

13

days

)
(ii)

(

15

days

,

14

days

)
(iii)

(

16

days

,

14

days

)
(iv)

(

15

days

,

15

days

)
(v)

(

14

days

,

14

days

)

Question 3

3.

A can construct
5
9
of a wall in
3

1
3

days
.

B can construct
1
5
of the wall in
1

3
5

days
.

C can construct
2
8
of the wall in
2

days
.

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

construct
2
7
of the wall?

(i)

8
11

days
(ii)

24
37

days
(iii)

22
35

days
(iv)

24
35

days
(v)

26
35

days

Question 4

4.

A can do
3
6
of a work in
7

1
2

days
.

He works for
6

days
when B joins him.

They work together and complete the work in
2

4
7

days
.

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

(i)

5

days
(ii)

7

days
(iii)

6

days
(iv)

8

days
(v)

3

days

Question 5

5.

In how many days can
3
men and
2
women complete the same work?

(i)

22

2
7

days
(ii)

22

6
25

days
(iii)

22

6
23

days
(iv)

22

8
23

days
(v)

22

4
23

days

Question 6

6.

A can do a work in
4

days
and B can do the same work in
7

days
.

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

(i)

2

6
13

days
(ii)

2

2
3

days
(iii)

2

8
11

days
(iv)

2

4
11

days
(v)

2

6
11

days

Question 7

7.

A and B can do a work in
6

hr
,
B and C can do it in
6

9
26

hr

and C and A can do it in
5

5
21

hr
.
In how much time can

each of them do it seperately?

(i)

(

10

hr

,

15

hr

,

12

hr

)
(ii)

(

10

hr

,

15

hr

,

11

hr

)
(iii)

(

10

hr

,

16

hr

,

11

hr

)
(iv)

(

11

hr

,

15

hr

,

11

hr

)
(v)

(

11

hr

,

16

hr

,

11

hr

)

Question 8

8.

9
men take
2

days
to complete a work.

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

(i)

1
18
(ii)

1
9
(iii)

1
2
(iv)

(
-1
18
)
(v)

1
6

Question 9

9.

A can construct
3
8
of a wall in
2

1
4

hr
.

B can construct
5
7
of the wall in
5

hr
.

C can construct
4
5
of the wall in
8

hr
.

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

construct
1
8
of the wall?

(i)

107
344

hr
(ii)

105
346

hr
(iii)

103
344

hr
(iv)

105
344

hr
(v)

35
114

hr

Question 10

10.

P and Q can do together a piece of work in
2

11
12

days
.

After they have worked together for
2

days
,
P stops.

Q completes the remaining work in
2

1
5

days
.

In how many days can Q alone do the work?

(i)

6

days
(ii)

4

days
(iii)

10

days
(iv)

7

days
(v)

8

days

Question 11

11.

Pipe A can fill a tank in
8

hr
and pipe B can empty the full tank in

32

hr
.
If both the pipes are opened together,

in how much time will the tank become full?

(i)

12

hr
(ii)

10

2
5

hr
(iii)

10

hr
(iv)

10

2
3

hr
(v)

11

1
3

hr

Question 12

12.

A can do a work in
4

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

2

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

(i)

5

days
(ii)

2

days
(iii)

7

days
(iv)

4

days
(v)

3

days

Question 13

13.

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

5
6

hr
.

They work together for
2

hr
and then A leaves.

B completes the remaining work in
6

4
7

hr
.

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

(i)

(

15

hr

,

10

hr

)
(ii)

(

14

hr

,

10

hr

)
(iii)

(

14

hr

,

9

hr

)
(iv)

(

13

hr

,

10

hr

)
(v)

(

14

hr

,

11

hr

)

Question 14

14.

A sum of
₹1010.00
will be given to do a work.

A and B can do it in
4

17
22

days
.

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

(i)

(

₹350

,

₹210

,

₹450

)
(ii)

(

₹210

,

₹450

,

₹350

)
(iii)

(

₹210

,

₹350

,

₹450

)
(iv)

(

₹350

,

₹450

,

₹210

)
(v)

(

₹450

,

₹350

,

₹210

)

Question 15

15.

opened together and after some time the first pipe is closed and the tank

becomes full in
23

3
14

min
from the time when both pipes are opened.
For how much time was first pipe open?

(i)

3

min
(ii)

0

min
(iii)

1

min
(iv)

2

min
(v)

-1

min

Question 16

16.

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

They can do a work together in
6

2
5

days
.

In how many days Q alone can do the work?

(i)

33

days
(ii)

34

days
(iii)

31

days
(iv)

30

days
(v)

32

days

Question 17

17.

Due to a leak at the bottom, pipe Y takes
2

2
3

hr
to fill the tank.

The leak alone can empty the full tank in
8

hr
.

In what time can pipe Y alone fill the tank when the leak is closed?

(i)

1

hr
(ii)

0

hr
(iii)

5

hr
(iv)

2

hr
(v)

3

hr

Question 18

18.

A can do a piece of work in
13

hr
,
B can do the work in
14

hr

and C in
8

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

(i)

3

131
197

hr
(ii)

3

133
199

hr
(iii)

3

131
201

hr
(iv)

3

129
199

hr
(v)

3

131
199

hr

Question 19

19.

A can do a piece of work in
12

hr
and B in
9

hr
.

A does the work for
4

hr
before B join A to work together.

Again after
2

hr
C joins both A and B to complete the work in
20
23

hr
.

In how much time C alone can do the work?

(i)

7

hr
(ii)

6

hr
(iii)

9

hr
(iv)

8

hr
(v)

11

hr

Question 20

20.

A sum of
₹711.00
will be given to do a work.

A and B can do it in
5

17
23

hr
.

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

(i)

(

₹216

,

₹297

,

₹198

)
(ii)

(

₹198

,

₹297

,

₹216

)
(iii)

(

₹297

,

₹198

,

₹216

)
(iv)

(

₹216

,

₹198

,

₹297

)
(v)

(

₹297

,

₹216

,

₹198

)

Question 21

21.

3
skilled men can do a work in
3

days
.

8
unskilled men can do the same work in
3

days
.

In how many days can
3
skilled and
5
unskilled men do the same work?

(i)

2

days
(ii)

1

11
15

days
(iii)

1

9
13

days
(iv)

1

11
13

days

Question 22

22.

In how many days can
15
men do the same work, working
4
hours a day?

(i)

25

11
20

days
(ii)

25

13
18

days
(iii)

25

3
4

days
(iv)

25

13
22

days
(v)

25

13
20

days

Question 23

23.

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

Who has the greatest capacity to do work?

(i)

E
(ii)

A
(iii)

B
(iv)

D
(v)

C

Question 24

24.

A certain number of men can do a work in
16

days
.

How many men are required to complete the work in
32

days
?

(i)

13
(ii)

9
(iii)

15
(iv)

11
(v)

12

Question 25

25.

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

11
17

days
.

B and C can do it in
3

3
5

days
.

C alone can do it in
6

days
.

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

(i)

4

1
4

days
(ii)

3

3
4

days
(iii)

3

1
4

days
(iv)

4

1
2

days
(v)

3

1
2

days

Assignment Key