EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Time and Work
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
A, B, C, D, and E can do a piece of work in
12
hr
,
9
hr
,
11
hr
,
5
hr
and
7
hr
respectively.
Who has the greatest capacity to do work?
(i)
D
(ii)
A
(iii)
B
(iv)
E
(v)
C
Question
2
2.
P and Q can do together a piece of work in
3
7
16
days
.
After they have worked together for
2
days
,
P stops.
Q completes the remaining work in
2
1
11
days
.
In how many days can Q alone do the work?
(i)
2
days
(ii)
7
days
(iii)
6
days
(iv)
5
days
(v)
4
days
Question
3
3.
A can do
3
6
of a work in
4
hr
.
He works for
2
hr
when B joins him.
They work together and complete the work in
3
1
3
hr
.
In how much time, B alone can do the work?
(i)
10
hr
(ii)
12
hr
(iii)
11
hr
(iv)
9
hr
(v)
8
hr
Question
4
4.
A can do a work in
9
days
.
With the help of B, A can do the same work in
2
10
13
days
.
In how many days can B alone do the work?
(i)
4
days
(ii)
5
days
(iii)
6
days
(iv)
1
day
(v)
3
days
Question
5
5.
A and B can do a work in
6
20
27
days
,
B and C can do it in
5
5
6
days
and C and A can do it in
5
15
23
days
.
In how much time can
each of them do it seperately?
(i)
(
13
days
,
14
days
,
11
days
)
(ii)
(
14
days
,
15
days
,
10
days
)
(iii)
(
13
days
,
14
days
,
10
days
)
(iv)
(
13
days
,
15
days
,
10
days
)
(v)
(
14
days
,
14
days
,
10
days
)
Question
6
6.
A sum of
₹3585.00
will be given to do a work.
A and B can do it in
3
15
16
hr
.
B and C can do in
4
19
20
hr
.
C and A can do in
4
5
18
hr
.
How much A, B and C respectively will get if all three work together?
(i)
(
₹1485
,
₹945
,
₹1155
)
(ii)
(
₹945
,
₹1485
,
₹1155
)
(iii)
(
₹945
,
₹1155
,
₹1485
)
(iv)
(
₹1155
,
₹945
,
₹1485
)
(v)
(
₹1485
,
₹1155
,
₹945
)
Question
7
7.
3
men take
6
days
to complete a work.
How much work is done by one man in one day?
(i)
1
6
(ii)
1
18
(iii)
(
-1
18
)
(iv)
1
3
Question
8
8.
A can do a work in
6
days
and B can do the same work in
6
days
.
If they work together, in how much time is the work completed?
(i)
3
days
(ii)
5
days
(iii)
0
days
(iv)
4
days
(v)
2
days
Question
9
9.
A and B can do a work in
4
11
20
hr
,
B and C can do it in
5
23
24
hr
and C and A can do it in
4
5
18
hr
.
In how much time can
each of them do it seperately?
(i)
(
8
hr
,
14
hr
,
11
hr
)
(ii)
(
8
hr
,
13
hr
,
11
hr
)
(iii)
(
7
hr
,
14
hr
,
11
hr
)
(iv)
(
7
hr
,
13
hr
,
11
hr
)
(v)
(
7
hr
,
13
hr
,
12
hr
)
Question
10
10.
A, B and C can together do a piece of work in
2
22
73
hr
.
B and C can do it in
3
11
15
hr
.
C alone can do it in
7
hr
.
In how much time A and C can do the work together?
(i)
3
5
13
hr
(ii)
3
3
13
hr
(iii)
3
1
13
hr
(iv)
3
1
5
hr
(v)
3
3
11
hr
Question
11
11.
A and B together can do a piece of work in
4
11
20
hr
.
They work together for
2
hr
and then A leaves.
B completes the remaining work in
7
2
7
hr
.
In how much time can each of them do the work seperately?
(i)
(
8
hr
,
13
hr
)
(ii)
(
6
hr
,
13
hr
)
(iii)
(
7
hr
,
14
hr
)
(iv)
(
7
hr
,
13
hr
)
(v)
(
7
hr
,
12
hr
)
Question
12
12.
Pipe A can fill a tank in
9
hr
and pipe B can empty the full tank in
45
hr
.
If both the pipes are opened together,
in how much time will the tank become full?
(i)
11
1
4
hr
(ii)
11
1
2
hr
(iii)
11
1
6
hr
(iv)
10
3
4
hr
(v)
11
3
4
hr
Question
13
13.
Person P is
nine times
as good a workman as Person Q.
They can do a work together in
7
1
5
days
.
In how many days Q alone can do the work?
(i)
71
days
(ii)
69
days
(iii)
72
days
(iv)
75
days
(v)
73
days
Question
14
14.
A, B and C can together do a piece of work in
2
1
7
days
.
B and C can do it in
3
3
4
days
.
C alone can do it in
10
days
.
In how much time A and C can do the work together?
(i)
2
2
3
days
(ii)
3
1
3
days
(iii)
4
days
(iv)
3
1
5
days
Question
15
15.
A can construct
7
9
of a wall in
3
8
9
days
.
B can construct
1
6
of the wall in
1
day
.
C can construct
1
8
of the wall in
3
4
days
.
If all three work together, in how much time will they
construct
3
7
of the wall?
(i)
43
56
days
(ii)
45
58
days
(iii)
47
56
days
(iv)
45
56
days
(v)
5
6
days
Question
16
16.
A and B together can do a piece of work in
4
1
2
days
.
They work together for
1
day
and then A leaves.
B completes the remaining work in
7
days
.
In how much time can each of them do the work seperately?
(i)
(
9
days
,
9
days
)
(ii)
(
9
days
,
10
days
)
(iii)
(
8
days
,
9
days
)
(iv)
(
9
days
,
8
days
)
(v)
(
10
days
,
9
days
)
Question
17
17.
Two pipes can fill a tank in
15
min
and
23
min
respectively.
Both pipes are
opened together and after some time the first pipe is closed and the tank
becomes full in
10
11
15
min
from the time when both pipes are opened.
For how much time was first pipe open?
(i)
8
min
(ii)
11
min
(iii)
7
min
(iv)
9
min
(v)
6
min
Question
18
18.
A, B and C together can do a work in
1
4
11
days
.
If A and C can do the work in
5
days
and
3
days
respectively,
in how many days can B alone do the work?
(i)
7
days
(ii)
6
days
(iii)
4
days
(iv)
5
days
(v)
2
days
Question
19
19.
Due to a leak at the bottom, pipe Y takes
9
3
5
hr
to fill the tank.
The leak alone can empty the full tank in
48
hr
.
In what time can pipe Y alone fill the tank when the leak is closed?
(i)
5
hr
(ii)
8
hr
(iii)
9
hr
(iv)
10
hr
(v)
7
hr
Question
20
20.
A and B can do a piece of work in
18
days
and
10
days
respectively.
They work together for
4
days
and then B leaves.
In how many days the whole work is completed?
(i)
11
1
5
days
(ii)
11
1
3
days
(iii)
10
4
5
days
(iv)
10
4
7
days
(v)
10
2
5
days
Question
21
21.
5
men can do a work in
18
days working
9
hours a day.
In how many days can
7
men do the same work, working
3
hours a day?
(i)
38
6
7
days
(ii)
38
2
7
days
(iii)
38
4
9
days
(iv)
38
4
7
days
(v)
38
4
5
days
Question
22
22.
A and B can do a work in
6
days
and
4
days
respectively.
They together undertook to do a piece of work for
₹4000.00
.
What is the share of B?
(i)
₹2401.00
(ii)
₹2399.00
(iii)
₹1600.00
(iv)
₹1598.00
(v)
₹2400.00
Question
23
23.
A can do a piece of work in
12
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
1
hr
.
In how much time C alone can do the work?
(i)
6
hr
(ii)
5
hr
(iii)
7
hr
(iv)
3
hr
(v)
9
hr
Question
24
24.
15
men and
2
women can do a piece of work in
8
days.
3
men and
4
women can do the same work in
8
days.
In how many days can
3
men and
5
women complete the same work?
(i)
6
2
3
days
(ii)
6
8
11
days
(iii)
6
6
11
days
(iv)
6
6
13
days
(v)
6
4
11
days
Question
25
25.
A and B can do a work in
29
days
and
18
days
respectively.
If they work on alternate days and A begins the work,
in how many days can it be completed?
(i)
21
days
(ii)
26
days
(iii)
23
days
(iv)
22
days
(v)
24
days
Assignment Key
1) (i)
2) (iv)
3) (i)
4) (i)
5) (iii)
6) (v)
7) (ii)
8) (i)
9) (iv)
10) (ii)
11) (iv)
12) (i)
13) (iii)
14) (ii)
15) (iv)
16) (i)
17) (i)
18) (iv)
19) (ii)
20) (iii)
21) (iv)
22) (v)
23) (i)
24) (iii)
25) (iii)
