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
6
days
, B and C can do in
5
days
and C and A can do in
8
days
.
If all three work together,
in how many days will the work be completed?
(i)
4
4
59
days
(ii)
4
4
61
days
(iii)
4
4
57
days
(iv)
4
6
59
days
(v)
4
2
59
days
Question
2
2.
2
men take
3
days
to complete a work.
How much work is done by one man in one day?
(i)
1
3
(ii)
1
2
(iii)
1
6
(iv)
(
-1
6
)
Question
3
3.
A can do a piece of work in
9
days
,
B can do the work in
12
days
and C in
11
days
respectively.
In how much time can they do it together?
(i)
3
57
115
days
(ii)
3
59
113
days
(iii)
3
55
113
days
(iv)
3
19
37
days
(v)
3
57
113
days
Question
4
4.
3
skilled men can do a work in
5
days
.
8
unskilled men can do the same work in
4
days
.
In how many days can
7
skilled and
3
unskilled men do the same work?
(i)
1
211
269
days
(ii)
1
211
267
days
(iii)
1
213
269
days
(iv)
1
211
271
days
(v)
1
209
269
days
Question
5
5.
A and B can do a work in
2
days
and
6
days
respectively.
They together undertook to do a piece of work for
₹3200.00
.
What is the share of B?
(i)
₹799.00
(ii)
₹800.00
(iii)
₹801.00
(iv)
₹2398.00
(v)
₹2400.00
Question
6
6.
A sum of
₹1233.00
will be given to do a work.
A and B can do it in
4
2
17
days
.
B and C can do in
4
8
19
days
.
C and A can do in
5
5
11
days
.
How much A, B and C respectively will get if all three work together?
(i)
(
₹315
,
₹378
,
₹540
)
(ii)
(
₹540
,
₹315
,
₹378
)
(iii)
(
₹315
,
₹540
,
₹378
)
(iv)
(
₹378
,
₹315
,
₹540
)
(v)
(
₹378
,
₹540
,
₹315
)
Question
7
7.
A can construct
1
5
of a wall in
1
4
5
hr
.
B can construct
4
7
of the wall in
4
hr
.
C can construct
4
6
of the wall in
6
hr
.
If all three work together, in how much time will they
construct
2
5
of the wall?
(i)
1
9
115
hr
(ii)
1
11
115
hr
(iii)
1
13
115
hr
(iv)
1
11
117
hr
(v)
1
11
113
hr
Question
8
8.
A, B and C can together do a piece of work in
2
1
2
hr
.
B and C can do it in
3
1
3
hr
.
C alone can do it in
10
hr
.
In how much time A and C can do the work together?
(i)
8
hr
(ii)
2
hr
(iii)
4
hr
(iv)
6
hr
(v)
5
hr
Question
9
9.
A can do a piece of work in
15
hr
,
B can do the work in
12
hr
and C in
5
hr
respectively.
In how much time can they do it together?
(i)
3
1
5
hr
(ii)
2
6
7
hr
(iii)
3
1
7
hr
(iv)
2
2
3
hr
(v)
2
4
7
hr
Question
10
10.
A and B can do a work in
4
20
21
days
,
B and C can do it in
6
20
27
days
and C and A can do it in
5
1
11
days
.
In how much time can
each of them do it seperately?
(i)
(
9
days
,
14
days
,
14
days
)
(ii)
(
9
days
,
13
days
,
14
days
)
(iii)
(
8
days
,
13
days
,
14
days
)
(iv)
(
8
days
,
13
days
,
15
days
)
(v)
(
8
days
,
14
days
,
14
days
)
Question
11
11.
Two pipes can fill a tank in
5
min
and
17
min
respectively.
Both pipes are
opened together and after some time the first pipe is closed and the tank
becomes full in
13
3
5
min
from the time when both pipes are opened.
For how much time was first pipe open?
(i)
4
min
(ii)
0
min
(iii)
1
min
(iv)
2
min
(v)
-2
min
Question
12
12.
A and B together can do a piece of work in
6
2
3
days
.
They work together for
2
days
and then A leaves.
B completes the remaining work in
8
2
5
days
.
In how much time can each of them do the work seperately?
(i)
(
16
days
,
12
days
)
(ii)
(
15
days
,
12
days
)
(iii)
(
14
days
,
12
days
)
(iv)
(
15
days
,
13
days
)
(v)
(
15
days
,
11
days
)
Question
13
13.
Person P is
seven times
as good a workman as Person Q.
They can do a work together in
1
3
4
days
.
In how many days Q alone can do the work?
(i)
14
days
(ii)
11
days
(iii)
15
days
(iv)
16
days
(v)
13
days
Question
14
14.
Due to a leak at the bottom, pipe Y takes
10
hr
to fill the tank.
The leak alone can empty the full tank in
40
hr
.
In what time can pipe Y alone fill the tank when the leak is closed?
(i)
8
hr
(ii)
11
hr
(iii)
7
hr
(iv)
5
hr
(v)
9
hr
Question
15
15.
A and B can do a piece of work in
10
days
and
20
days
respectively.
They work together for
2
days
and then B leaves.
In how many days the whole work is completed?
(i)
8
days
(ii)
7
days
(iii)
10
days
(iv)
9
days
(v)
11
days
Question
16
16.
P and Q can do together a piece of work in
2
8
11
days
.
After they have worked together for
1
day
,
P stops.
Q completes the remaining work in
3
1
6
days
.
In how many days can Q alone do the work?
(i)
3
days
(ii)
7
days
(iii)
6
days
(iv)
5
days
(v)
4
days
Question
17
17.
A sum of
₹423.00
will be given to do a work.
A and B can do it in
4
4
5
hr
.
B and C can do in
5
1
11
hr
.
C and A can do in
6
6
13
hr
.
How much A, B and C respectively will get if all three work together?
(i)
(
₹108
,
₹189
,
₹126
)
(ii)
(
₹189
,
₹108
,
₹126
)
(iii)
(
₹126
,
₹108
,
₹189
)
(iv)
(
₹126
,
₹189
,
₹108
)
(v)
(
₹108
,
₹126
,
₹189
)
Question
18
18.
Pipe A can fill a tank in
5
hr
and pipe B can empty the full tank in
40
hr
.
If both the pipes are opened together,
in how much time will the tank become full?
(i)
5
3
7
hr
(ii)
6
hr
(iii)
5
5
9
hr
(iv)
5
5
7
hr
Question
19
19.
A can construct
6
10
of a wall in
6
days
.
B can construct
1
6
of the wall in
1
1
3
days
.
C can construct
7
8
of the wall in
5
1
4
days
.
If all three work together, in how much time will they
construct
3
6
of the wall?
(i)
1
13
47
days
(ii)
1
13
49
days
(iii)
1
13
45
days
(iv)
1
15
47
days
(v)
1
11
47
days
Question
20
20.
A can do a work in
5
days
.
With the help of B, A can do the same work in
2
11
12
days
.
In how many days can B alone do the work?
(i)
5
days
(ii)
9
days
(iii)
7
days
(iv)
6
days
(v)
8
days
Question
21
21.
18
men can do a work in
5
days working
9
hours a day.
In how many days can
20
men do the same work, working
6
hours a day?
(i)
7
1
2
days
(ii)
7
1
4
days
(iii)
6
1
2
days
(iv)
6
1
4
days
(v)
6
3
4
days
Question
22
22.
24
men and
5
women can do a piece of work in
4
days.
1
men and
5
women can do the same work in
16
days.
In how many days can
5
men and
4
women complete the same work?
(i)
11
9
11
days
(ii)
11
27
31
days
(iii)
11
27
29
days
(iv)
11
29
31
days
(v)
11
25
31
days
Question
23
23.
A can do
4
8
of a work in
3
days
.
He works for
2
days
when B joins him.
They work together and complete the work in
2
4
5
days
.
In how much time, B alone can do the work?
(i)
14
days
(ii)
17
days
(iii)
11
days
(iv)
13
days
(v)
15
days
Question
24
24.
A and B together can do a piece of work in
4
5
18
hr
.
They work together for
2
hr
and then A leaves.
B completes the remaining work in
3
8
11
hr
.
In how much time can each of them do the work seperately?
(i)
(
11
hr
,
8
hr
)
(ii)
(
11
hr
,
6
hr
)
(iii)
(
11
hr
,
7
hr
)
(iv)
(
10
hr
,
7
hr
)
(v)
(
12
hr
,
7
hr
)
Question
25
25.
A and B can do a work in
18
days
and
26
days
respectively.
If they work on alternate days and A begins the work,
in how many days can it be completed?
(i)
24
days
(ii)
22
days
(iii)
23
days
(iv)
21
days
(v)
19
days
Assignment Key
1) (i)
2) (iii)
3) (v)
4) (i)
5) (ii)
6) (v)
7) (ii)
8) (v)
9) (ii)
10) (iii)
11) (iii)
12) (ii)
13) (i)
14) (i)
15) (iv)
16) (iv)
17) (iv)
18) (iv)
19) (i)
20) (iii)
21) (v)
22) (ii)
23) (i)
24) (iii)
25) (ii)