EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Time and Work
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
A sum of
₹4305.00
will be given to do a work.
A and B can do it in
4
2
19
hr
.
B and C can do in
3
15
17
hr
.
C and A can do in
5
23
24
hr
.
How much A, B and C respectively will get if all three work together?
(i)
(
₹1170
,
₹2145
,
₹990
)
(ii)
(
₹2145
,
₹1170
,
₹990
)
(iii)
(
₹990
,
₹1170
,
₹2145
)
(iv)
(
₹990
,
₹2145
,
₹1170
)
(v)
(
₹1170
,
₹990
,
₹2145
)
Question
2
2.
A can do a piece of work in
10
days
,
B can do the work in
13
days
and C in
12
days
respectively.
In how much time can they do it together?
(i)
3
169
203
days
(ii)
3
57
67
days
(iii)
3
171
205
days
(iv)
3
173
203
days
(v)
3
171
203
days
Question
3
3.
Pipe A can fill a tank in
8
hr
and pipe B can empty the full tank in
48
hr
.
If both the pipes are opened together,
in how much time will the tank become full?
(i)
10
hr
(ii)
9
3
5
hr
(iii)
9
3
7
hr
(iv)
9
1
5
hr
Question
4
4.
A and B can do a piece of work in
17
days
and
12
days
respectively.
They work together for
6
days
and then B leaves.
In how many days the whole work is completed?
(i)
9
1
2
days
(ii)
7
1
2
days
(iii)
8
1
4
days
(iv)
8
1
2
days
(v)
9
days
Question
5
5.
A and B together can do a piece of work in
6
6
13
days
.
They work together for
2
days
and then A leaves.
B completes the remaining work in
9
2
3
days
.
In how much time can each of them do the work seperately?
(i)
(
12
days
,
15
days
)
(ii)
(
13
days
,
14
days
)
(iii)
(
12
days
,
14
days
)
(iv)
(
12
days
,
13
days
)
(v)
(
11
days
,
14
days
)
Question
6
6.
A, B, C, D, and E can do a piece of work in
8
hr
,
9
hr
,
12
hr
,
13
hr
and
5
hr
respectively.
Who has the greatest capacity to do work?
(i)
C
(ii)
A
(iii)
D
(iv)
B
(v)
E
Question
7
7.
A can do a work in
6
days
and B can do the same work in
7
days
.
If they work together, in how much time is the work completed?
(i)
3
5
13
days
(ii)
3
1
5
days
(iii)
3
1
13
days
(iv)
3
3
11
days
(v)
3
3
13
days
Question
8
8.
P and Q can do together a piece of work in
4
4
17
days
.
After they have worked together for
2
days
,
P stops.
Q completes the remaining work in
4
3
4
days
.
In how many days can Q alone do the work?
(i)
11
days
(ii)
8
days
(iii)
9
days
(iv)
7
days
(v)
10
days
Question
9
9.
A, B and C can together do a piece of work in
2
1
17
hr
.
B and C can do it in
3
1
2
hr
.
C alone can do it in
7
hr
.
In how much time A and C can do the work together?
(i)
2
11
12
hr
(ii)
3
1
10
hr
(iii)
2
3
4
hr
(iv)
3
1
12
hr
(v)
2
11
14
hr
Question
10
10.
A, B, C, D, and E can do a piece of work in
12
days
,
11
days
,
8
days
,
15
days
and
7
days
respectively.
Who has the greatest capacity to do work?
(i)
C
(ii)
D
(iii)
B
(iv)
E
(v)
A
Question
11
11.
A can do a piece of work in
9
hr
,
B can do the work in
6
hr
and C in
6
hr
respectively.
In how much time can they do it together?
(i)
1
3
4
hr
(ii)
2
1
6
hr
(iii)
2
1
4
hr
(iv)
2
3
4
hr
(v)
2
1
2
hr
Question
12
12.
A can construct
8
10
of a wall in
4
4
5
hr
.
B can construct
3
7
of the wall in
3
hr
.
C can construct
3
5
of the wall in
6
hr
.
If all three work together, in how much time will they
construct
3
5
of the wall?
(i)
1
20
41
hr
(ii)
1
4
9
hr
(iii)
1
22
43
hr
(iv)
1
20
43
hr
(v)
1
18
43
hr
Question
13
13.
Person P is
thrice
as good a workman as Person Q.
They can do a work together in
3
days
.
In how many days Q alone can do the work?
(i)
15
days
(ii)
12
days
(iii)
11
days
(iv)
10
days
(v)
13
days
Question
14
14.
A can do
6
11
of a work in
8
2
11
hr
.
He works for
2
hr
when B joins him.
They work together and complete the work in
5
1
5
hr
.
In how much time, B alone can do the work?
(i)
11
hr
(ii)
12
hr
(iii)
7
hr
(iv)
10
hr
(v)
9
hr
Question
15
15.
A can do
12
13
of a work in
6
6
13
days
.
He works for
3
days
when B joins him.
They work together and complete the work in
2
2
3
days
.
In how much time, B alone can do the work?
(i)
14
days
(ii)
17
days
(iii)
15
days
(iv)
13
days
(v)
12
days
Question
16
16.
6
men can do a work in
11
days working
9
hours a day.
In how many days can
6
men do the same work, working
6
hours a day?
(i)
15
1
2
days
(ii)
16
1
4
days
(iii)
17
days
(iv)
16
1
2
days
(v)
17
1
2
days
Question
17
17.
A can construct
5
9
of a wall in
3
8
9
days
.
B can construct
5
10
of the wall in
4
1
2
days
.
C can construct
3
10
of the wall in
1
4
5
days
.
If all three work together, in how much time will they
construct
2
6
of the wall?
(i)
42
55
days
(ii)
44
53
days
(iii)
40
53
days
(iv)
42
53
days
(v)
14
17
days
Question
18
18.
A can do a piece of work in
11
hr
and B in
9
hr
.
A does the work for
3
hr
before B join A to work together.
Again after
2
hr
C joins both A and B to complete the work in
256
259
hr
.
In how much time C alone can do the work?
(i)
8
hr
(ii)
7
hr
(iii)
10
hr
(iv)
9
hr
(v)
6
hr
Question
19
19.
A and B can do a work in
12
days
and
20
days
respectively.
If they work on alternate days and A begins the work,
in how many days can it be completed?
(i)
14
days
(ii)
12
days
(iii)
17
days
(iv)
15
days
(v)
16
days
Question
20
20.
A sum of
₹1239.00
will be given to do a work.
A and B can do it in
5
1
11
days
.
B and C can do in
6
4
25
days
.
C and A can do in
4
12
19
days
.
How much A, B and C respectively will get if all three work together?
(i)
(
₹539
,
₹392
,
₹308
)
(ii)
(
₹308
,
₹392
,
₹539
)
(iii)
(
₹392
,
₹308
,
₹539
)
(iv)
(
₹539
,
₹308
,
₹392
)
(v)
(
₹392
,
₹539
,
₹308
)
Question
21
21.
Two pipes can fill a tank in
15
min
and
28
min
respectively.
Both pipes are
opened together and after some time the first pipe is closed and the tank
becomes full in
14
14
15
min
from the time when both pipes are opened.
For how much time was first pipe open?
(i)
6
min
(ii)
7
min
(iii)
9
min
(iv)
8
min
(v)
4
min
Question
22
22.
A and B can do a work in
4
2
19
hr
,
B and C can do it in
3
11
18
hr
and C and A can do it in
2
8
11
hr
.
In how much time can
each of them do it seperately?
(i)
(
6
hr
,
13
hr
,
6
hr
)
(ii)
(
6
hr
,
14
hr
,
5
hr
)
(iii)
(
7
hr
,
13
hr
,
5
hr
)
(iv)
(
6
hr
,
13
hr
,
5
hr
)
(v)
(
7
hr
,
14
hr
,
5
hr
)
Question
23
23.
Due to a leak at the bottom, pipe Y takes
8
1
6
hr
to fill the tank.
The leak alone can empty the full tank in
49
hr
.
In what time can pipe Y alone fill the tank when the leak is closed?
(i)
7
hr
(ii)
6
hr
(iii)
9
hr
(iv)
4
hr
(v)
8
hr
Question
24
24.
A and B can do a work in
9
days
and
3
days
respectively.
They together undertook to do a piece of work for
₹8400.00
.
What is the share of B?
(i)
₹2100.00
(ii)
₹6301.00
(iii)
₹6300.00
(iv)
₹2098.00
(v)
₹6299.00
Question
25
25.
A can do a work in
2
days
.
With the help of B, A can do the same work in
1
3
7
days
.
In how many days can B alone do the work?
(i)
7
days
(ii)
4
days
(iii)
5
days
(iv)
3
days
(v)
6
days
Assignment Key
1) (iv)
2) (v)
3) (ii)
4) (iv)
5) (iii)
6) (v)
7) (v)
8) (iii)
9) (i)
10) (iv)
11) (iii)
12) (iv)
13) (ii)
14) (iv)
15) (i)
16) (iv)
17) (iv)
18) (i)
19) (iv)
20) (iv)
21) (ii)
22) (iv)
23) (i)
24) (iii)
25) (iii)
