EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Time and Work
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
A can do a work in
4
days
.
With the help of B, A can do the same work in
2
2
5
days
.
In how many days can B alone do the work?
(i)
5
days
(ii)
8
days
(iii)
7
days
(iv)
6
days
(v)
4
days
Question
2
2.
A and B together can do a piece of work in
4
4
5
hr
.
They work together for
2
hr
and then A leaves.
B completes the remaining work in
7
hr
.
In how much time can each of them do the work seperately?
(i)
(
8
hr
,
11
hr
)
(ii)
(
8
hr
,
13
hr
)
(iii)
(
8
hr
,
12
hr
)
(iv)
(
9
hr
,
12
hr
)
(v)
(
7
hr
,
12
hr
)
Question
3
3.
A and B can do a work in
7
days
, B and C can do in
8
days
and C and A can do in
9
days
.
If all three work together,
in how many days will the work be completed?
(i)
5
53
189
days
(ii)
5
51
191
days
(iii)
5
53
191
days
(iv)
5
53
193
days
(v)
5
55
191
days
Question
4
4.
A and B together can do a piece of work in
6
4
25
days
.
They work together for
2
days
and then A leaves.
B completes the remaining work in
7
3
7
days
.
In how much time can each of them do the work seperately?
(i)
(
13
days
,
11
days
)
(ii)
(
14
days
,
10
days
)
(iii)
(
15
days
,
11
days
)
(iv)
(
14
days
,
11
days
)
(v)
(
14
days
,
12
days
)
Question
5
5.
A can do a piece of work in
12
days
,
B can do the work in
13
days
and C in
10
days
respectively.
In how much time can they do it together?
(i)
3
171
205
days
(ii)
3
169
203
days
(iii)
3
57
67
days
(iv)
3
171
203
days
(v)
3
173
203
days
Question
6
6.
Pipe A can fill a tank in
8
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)
9
hr
(ii)
11
hr
(iii)
8
hr
(iv)
13
hr
(v)
10
hr
Question
7
7.
A sum of
₹2390.00
will be given to do a work.
A and B can do it in
3
15
16
days
.
B and C can do in
4
5
18
days
.
C and A can do in
4
19
20
days
.
How much A, B and C respectively will get if all three work together?
(i)
(
₹770
,
₹990
,
₹630
)
(ii)
(
₹990
,
₹630
,
₹770
)
(iii)
(
₹630
,
₹770
,
₹990
)
(iv)
(
₹770
,
₹630
,
₹990
)
(v)
(
₹630
,
₹990
,
₹770
)
Question
8
8.
A and B can do a work in
8
days
and
9
days
respectively.
They together undertook to do a piece of work for
₹11900.00
.
What is the share of B?
(i)
₹6298.00
(ii)
₹5599.00
(iii)
₹5600.00
(iv)
₹5601.00
(v)
₹6300.00
Question
9
9.
Person P is
four times
as good a workman as Person Q.
They can do a work together in
1
3
5
days
.
In how many days Q alone can do the work?
(i)
8
days
(ii)
7
days
(iii)
9
days
(iv)
10
days
(v)
5
days
Question
10
10.
A can do a piece of work in
11
hr
,
B can do the work in
12
hr
and C in
10
hr
respectively.
In how much time can they do it together?
(i)
3
117
181
hr
(ii)
3
119
181
hr
(iii)
3
117
179
hr
(iv)
3
39
61
hr
(v)
3
115
181
hr
Question
11
11.
A can do a piece of work in
15
hr
and B in
10
hr
.
A does the work for
6
hr
before B join A to work together.
Again after
2
hr
C joins both A and B to complete the work in
8
11
hr
.
In how much time C alone can do the work?
(i)
6
hr
(ii)
2
hr
(iii)
5
hr
(iv)
8
hr
(v)
4
hr
Question
12
12.
A and B can do a work in
5
5
23
hr
,
B and C can do it in
3
3
7
hr
and C and A can do it in
4
2
7
hr
.
In how much time can
each of them do it seperately?
(i)
(
15
hr
,
8
hr
,
6
hr
)
(ii)
(
15
hr
,
9
hr
,
6
hr
)
(iii)
(
16
hr
,
8
hr
,
6
hr
)
(iv)
(
15
hr
,
8
hr
,
7
hr
)
(v)
(
16
hr
,
9
hr
,
6
hr
)
Question
13
13.
6
skilled men can do a work in
7
days
.
6
unskilled men can do the same work in
9
days
.
In how many days can
9
skilled and
4
unskilled men do the same work?
(i)
3
49
109
days
(ii)
3
51
109
days
(iii)
3
53
109
days
(iv)
3
17
37
days
(v)
3
51
107
days
Question
14
14.
A, B and C can together do a piece of work in
2
11
17
hr
.
B and C can do it in
4
14
19
hr
.
C alone can do it in
10
hr
.
In how much time A and C can do the work together?
(i)
4
1
4
hr
(ii)
3
3
4
hr
(iii)
4
1
2
hr
(iv)
3
1
4
hr
(v)
3
1
2
hr
Question
15
15.
2
men and
1
women can do a piece of work in
18
days.
5
men and
4
women can do the same work in
6
days.
In how many days can
4
men and
2
women complete the same work?
(i)
12
days
(ii)
7
days
(iii)
10
days
(iv)
8
days
(v)
9
days
Question
16
16.
A, B and C can together do a piece of work in
1
103
107
days
.
B and C can do it in
2
8
11
days
.
C alone can do it in
5
days
.
In how much time A and C can do the work together?
(i)
2
11
12
days
(ii)
2
11
14
days
(iii)
3
1
10
days
(iv)
3
1
12
days
(v)
2
3
4
days
Question
17
17.
A can do
6
9
of a work in
4
hr
.
He works for
2
hr
when B joins him.
They work together and complete the work in
2
2
5
hr
.
In how much time, B alone can do the work?
(i)
7
hr
(ii)
8
hr
(iii)
12
hr
(iv)
9
hr
(v)
10
hr
Question
18
18.
Due to a leak at the bottom, pipe Y takes
11
1
4
hr
to fill the tank.
The leak alone can empty the full tank in
45
hr
.
In what time can pipe Y alone fill the tank when the leak is closed?
(i)
9
hr
(ii)
6
hr
(iii)
10
hr
(iv)
8
hr
(v)
12
hr
Question
19
19.
A can construct
1
7
of a wall in
5
7
days
.
B can construct
2
8
of the wall in
2
days
.
C can construct
1
9
of the wall in
1
day
.
If all three work together, in how much time will they
construct
4
6
of the wall?
(i)
1
81
157
days
(ii)
1
83
157
days
(iii)
1
83
155
days
(iv)
1
83
159
days
(v)
1
85
157
days
Question
20
20.
A certain number of men can do a work in
14
days
.
If there were
9
men
more
,
it would take
6
days
less
to complete the work.
How many men are required to complete the work in
28
days
?
(i)
6
(ii)
5
(iii)
3
(iv)
8
(v)
7
Question
21
21.
P and Q can do together a piece of work in
3
3
7
days
.
After they have worked together for
2
days
,
P stops.
Q completes the remaining work in
3
1
3
days
.
In how many days can Q alone do the work?
(i)
5
days
(ii)
8
days
(iii)
9
days
(iv)
7
days
(v)
10
days
Question
22
22.
A sum of
₹1605.00
will be given to do a work.
A and B can do it in
2
8
11
hr
.
B and C can do in
2
11
12
hr
.
C and A can do in
3
3
13
hr
.
How much A, B and C respectively will get if all three work together?
(i)
(
₹630
,
₹450
,
₹525
)
(ii)
(
₹525
,
₹450
,
₹630
)
(iii)
(
₹450
,
₹630
,
₹525
)
(iv)
(
₹525
,
₹630
,
₹450
)
(v)
(
₹450
,
₹525
,
₹630
)
Question
23
23.
A, B, C, D, and E can do a piece of work in
5
hr
,
14
hr
,
15
hr
,
6
hr
and
12
hr
respectively.
Who has the greatest capacity to do work?
(i)
C
(ii)
E
(iii)
A
(iv)
D
(v)
B
Question
24
24.
A and B can do a work in
4
1
2
days
,
B and C can do it in
5
7
22
days
and C and A can do it in
5
7
22
days
.
In how much time can
each of them do it seperately?
(i)
(
9
days
,
10
days
,
13
days
)
(ii)
(
9
days
,
9
days
,
13
days
)
(iii)
(
9
days
,
9
days
,
14
days
)
(iv)
(
10
days
,
9
days
,
13
days
)
(v)
(
10
days
,
10
days
,
13
days
)
Question
25
25.
A can construct
4
6
of a wall in
5
1
3
hr
.
B can construct
1
9
of the wall in
8
9
hr
.
C can construct
2
5
of the wall in
3
1
5
hr
.
If all three work together, in how much time will they
construct
6
9
of the wall?
(i)
1
7
11
hr
(ii)
1
5
9
hr
(iii)
2
hr
(iv)
1
7
9
hr
Assignment Key
1) (iv)
2) (iii)
3) (iii)
4) (iv)
5) (iv)
6) (v)
7) (i)
8) (iii)
9) (i)
10) (i)
11) (iii)
12) (i)
13) (ii)
14) (ii)
15) (v)
16) (i)
17) (iv)
18) (i)
19) (ii)
20) (i)
21) (ii)
22) (iv)
23) (iii)
24) (ii)
25) (iv)
