EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Time and Work
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
A can do a piece of work in
11
days
,
B can do the work in
14
days
and C in
7
days
respectively.
In how much time can they do it together?
(i)
3
13
49
days
(ii)
3
13
47
days
(iii)
3
15
47
days
(iv)
3
13
45
days
(v)
3
11
47
days
Question
2
2.
A and B can do a piece of work in
11
days
and
17
days
respectively.
They work together for
1
day
and then B leaves.
In how many days the whole work is completed?
(i)
10
6
19
days
(ii)
10
2
5
days
(iii)
10
6
17
days
(iv)
10
8
17
days
(v)
10
4
17
days
Question
3
3.
Two pipes can fill a tank in
7
min
and
18
min
respectively.
Both pipes are
opened together and after some time the first pipe is closed and the tank
becomes full in
12
6
7
min
from the time when both pipes are opened.
For how much time was first pipe open?
(i)
3
min
(ii)
1
min
(iii)
2
min
(iv)
5
min
(v)
0
min
Question
4
4.
A, B, C, D, and E can do a piece of work in
14
hr
,
7
hr
,
10
hr
,
12
hr
and
5
hr
respectively.
Who has the greatest capacity to do work?
(i)
C
(ii)
A
(iii)
E
(iv)
B
(v)
D
Question
5
5.
A sum of
₹217.00
will be given to do a work.
A and B can do it in
3
3
5
days
.
B and C can do in
5
5
8
days
.
C and A can do in
4
2
7
days
.
How much A, B and C respectively will get if all three work together?
(i)
(
₹105
,
₹42
,
₹70
)
(ii)
(
₹42
,
₹105
,
₹70
)
(iii)
(
₹42
,
₹70
,
₹105
)
(iv)
(
₹70
,
₹42
,
₹105
)
(v)
(
₹105
,
₹70
,
₹42
)
Question
6
6.
Pipe A can fill a tank in
4
hr
and pipe B can empty the full tank in
16
hr
.
If both the pipes are opened together,
in how much time will the tank become full?
(i)
5
1
3
hr
(ii)
5
1
5
hr
(iii)
4
2
3
hr
(iv)
6
hr
Question
7
7.
5
men take
4
days
to complete a work.
How much work is done by one man in one day?
(i)
(
-1
20
)
(ii)
3
20
(iii)
1
4
(iv)
1
5
(v)
1
20
Question
8
8.
13
men can do a work in
6
days working
9
hours a day.
In how many days can
18
men do the same work, working
5
hours a day?
(i)
8
1
5
days
(ii)
8
1
3
days
(iii)
7
4
7
days
(iv)
7
2
5
days
(v)
7
4
5
days
Question
9
9.
A, B and C together can do a work in
6
7
days
.
If A and C can do the work in
3
days
and
2
days
respectively,
in how many days can B alone do the work?
(i)
5
days
(ii)
3
days
(iii)
4
days
(iv)
0
days
(v)
2
days
Question
10
10.
A certain number of men can do a work in
18
days
.
If there were
10
men
less
,
it would take
30
days
more
to complete the work.
How many men are required to complete the work in
24
days
?
(i)
15
(ii)
9
(iii)
12
(iv)
13
(v)
11
Question
11
11.
A sum of
₹4103.00
will be given to do a work.
A and B can do it in
6
9
26
hr
.
B and C can do in
4
12
19
hr
.
C and A can do in
5
5
23
hr
.
How much A, B and C respectively will get if all three work together?
(i)
(
₹1815
,
₹968
,
₹1320
)
(ii)
(
₹1320
,
₹1815
,
₹968
)
(iii)
(
₹1815
,
₹1320
,
₹968
)
(iv)
(
₹968
,
₹1815
,
₹1320
)
(v)
(
₹968
,
₹1320
,
₹1815
)
Question
12
12.
A and B can do a work in
7
days
and
6
days
respectively.
They together undertook to do a piece of work for
₹11700.00
.
What is the share of B?
(i)
₹5400.00
(ii)
₹6300.00
(iii)
₹6301.00
(iv)
₹6299.00
(v)
₹5398.00
Question
13
13.
A can do
7
12
of a work in
4
2
3
hr
.
He works for
2
hr
when B joins him.
They work together and complete the work in
3
9
19
hr
.
In how much time, B alone can do the work?
(i)
12
hr
(ii)
10
hr
(iii)
11
hr
(iv)
8
hr
(v)
13
hr
Question
14
14.
A can do a piece of work in
9
hr
,
B can do the work in
15
hr
and C in
14
hr
respectively.
In how much time can they do it together?
(i)
4
2
155
hr
(ii)
4
4
157
hr
(iii)
4
hr
(iv)
4
2
159
hr
(v)
4
2
157
hr
Question
15
15.
5
skilled men can do a work in
3
days
.
5
unskilled men can do the same work in
8
days
.
In how many days can
4
skilled and
4
unskilled men do the same work?
(i)
2
10
11
days
(ii)
2
8
9
days
(iii)
2
8
11
days
(iv)
2
6
11
days
(v)
2
8
13
days
Question
16
16.
A and B together can do a piece of work in
4
5
18
days
.
They work together for
1
day
and then A leaves.
B completes the remaining work in
8
3
7
days
.
In how much time can each of them do the work seperately?
(i)
(
7
days
,
11
days
)
(ii)
(
8
days
,
11
days
)
(iii)
(
7
days
,
12
days
)
(iv)
(
7
days
,
10
days
)
(v)
(
6
days
,
11
days
)
Question
17
17.
A and B can do a work in
8
days
, B and C can do in
6
days
and C and A can do in
7
days
.
If all three work together,
in how many days will the work be completed?
(i)
4
46
73
days
(ii)
4
42
73
days
(iii)
4
44
73
days
(iv)
4
44
71
days
(v)
4
44
75
days
Question
18
18.
A can do a work in
9
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
6
days
(ii)
3
13
16
days
(iii)
4
1
14
days
(iv)
3
15
16
days
(v)
4
1
16
days
Question
19
19.
A and B can do a work in
5
1
7
days
,
B and C can do it in
4
14
19
days
and C and A can do it in
5
5
11
days
.
In how much time can
each of them do it seperately?
(i)
(
13
days
,
9
days
,
10
days
)
(ii)
(
12
days
,
10
days
,
10
days
)
(iii)
(
12
days
,
9
days
,
10
days
)
(iv)
(
13
days
,
10
days
,
10
days
)
(v)
(
12
days
,
9
days
,
11
days
)
Question
20
20.
P and Q can do together a piece of work in
2
11
12
days
.
After they have worked together for
1
day
,
P stops.
Q completes the remaining work in
4
3
5
days
.
In how many days can Q alone do the work?
(i)
7
days
(ii)
8
days
(iii)
6
days
(iv)
5
days
(v)
9
days
Question
21
21.
A and B can do a work in
5
7
22
hr
,
B and C can do it in
5
7
22
hr
and C and A can do it in
6
1
2
hr
.
In how much time can
each of them do it seperately?
(i)
(
13
hr
,
9
hr
,
14
hr
)
(ii)
(
14
hr
,
10
hr
,
13
hr
)
(iii)
(
13
hr
,
9
hr
,
13
hr
)
(iv)
(
13
hr
,
10
hr
,
13
hr
)
(v)
(
14
hr
,
9
hr
,
13
hr
)
Question
22
22.
A can do a work in
9
days
.
With the help of B, A can do the same work in
2
1
4
days
.
In how many days can B alone do the work?
(i)
6
days
(ii)
4
days
(iii)
3
days
(iv)
0
days
(v)
2
days
Question
23
23.
A and B together can do a piece of work in
6
9
26
hr
.
They work together for
1
hr
and then A leaves.
B completes the remaining work in
9
4
15
hr
.
In how much time can each of them do the work seperately?
(i)
(
15
hr
,
11
hr
)
(ii)
(
15
hr
,
12
hr
)
(iii)
(
14
hr
,
11
hr
)
(iv)
(
16
hr
,
11
hr
)
(v)
(
15
hr
,
10
hr
)
Question
24
24.
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)
9
hr
(ii)
11
hr
(iii)
8
hr
(iv)
6
hr
(v)
7
hr
Question
25
25.
A, B, C, D, and E can do a piece of work in
12
days
,
7
days
,
13
days
,
9
days
and
6
days
respectively.
Who has the greatest capacity to do work?
(i)
A
(ii)
C
(iii)
B
(iv)
E
(v)
D
Assignment Key
1) (ii)
2) (iii)
3) (iii)
4) (iii)
5) (v)
6) (i)
7) (v)
8) (v)
9) (ii)
10) (iii)
11) (v)
12) (ii)
13) (iii)
14) (v)
15) (iii)
16) (i)
17) (iii)
18) (iv)
19) (iii)
20) (i)
21) (iii)
22) (iii)
23) (i)
24) (iii)
25) (iv)
