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
6
hr
,
B can do the work in
6
hr
and C in
13
hr
respectively.
In how much time can they do it together?
(i)
2
1
2
hr
(ii)
2
7
18
hr
(iii)
2
7
16
hr
(iv)
2
5
16
hr
(v)
2
9
16
hr
Question
2
2.
Pipe A can fill a tank in
7
hr
and pipe B can empty the full tank in
21
hr
.
If both the pipes are opened together,
in how much time will the tank become full?
(i)
11
hr
(ii)
10
1
4
hr
(iii)
11
1
2
hr
(iv)
10
1
2
hr
(v)
9
1
2
hr
Question
3
3.
11
men can do a work in
16
days working
5
hours a day.
In how many days can
10
men do the same work, working
7
hours a day?
(i)
12
2
7
days
(ii)
12
6
7
days
(iii)
12
4
9
days
(iv)
12
4
5
days
(v)
12
4
7
days
Question
4
4.
A and B together can do a piece of work in
5
5
8
days
.
They work together for
1
day
and then A leaves.
B completes the remaining work in
12
1
3
days
.
In how much time can each of them do the work seperately?
(i)
(
10
days
,
15
days
)
(ii)
(
9
days
,
14
days
)
(iii)
(
9
days
,
16
days
)
(iv)
(
8
days
,
15
days
)
(v)
(
9
days
,
15
days
)
Question
5
5.
A can do a work in
9
days
.
With the help of B, A can do the same work in
1
7
11
days
.
In how many days can B alone do the work?
(i)
3
days
(ii)
2
days
(iii)
1
day
(iv)
4
days
(v)
-1
days
Question
6
6.
A, B, C, D, and E can do a piece of work in
14
hr
,
12
hr
,
6
hr
,
7
hr
and
9
hr
respectively.
Who has the greatest capacity to do work?
(i)
A
(ii)
D
(iii)
E
(iv)
B
(v)
C
Question
7
7.
A sum of
₹1865.00
will be given to do a work.
A and B can do it in
5
5
23
hr
.
B and C can do in
4
12
19
hr
.
C and A can do in
6
9
26
hr
.
How much A, B and C respectively will get if all three work together?
(i)
(
₹440
,
₹600
,
₹825
)
(ii)
(
₹600
,
₹440
,
₹825
)
(iii)
(
₹825
,
₹600
,
₹440
)
(iv)
(
₹440
,
₹825
,
₹600
)
(v)
(
₹600
,
₹825
,
₹440
)
Question
8
8.
Due to a leak at the bottom, pipe Y takes
12
hr
to fill the tank.
The leak alone can empty the full tank in
24
hr
.
In what time can pipe Y alone fill the tank when the leak is closed?
(i)
8
hr
(ii)
5
hr
(iii)
7
hr
(iv)
9
hr
(v)
11
hr
Question
9
9.
P and Q can do together a piece of work in
6
days
.
After they have worked together for
2
days
,
P stops.
Q completes the remaining work in
6
days
.
In how many days can Q alone do the work?
(i)
10
days
(ii)
8
days
(iii)
12
days
(iv)
9
days
(v)
7
days
Question
10
10.
A and B can do a work in
3
3
5
days
,
B and C can do it in
5
5
8
days
and C and A can do it in
4
2
7
days
.
In how much time can
each of them do it seperately?
(i)
(
6
days
,
10
days
,
15
days
)
(ii)
(
6
days
,
9
days
,
16
days
)
(iii)
(
7
days
,
9
days
,
15
days
)
(iv)
(
6
days
,
9
days
,
15
days
)
(v)
(
7
days
,
10
days
,
15
days
)
Question
11
11.
A and B can do a work in
7
days
and
3
days
respectively.
They together undertook to do a piece of work for
₹3000.00
.
What is the share of B?
(i)
₹900.00
(ii)
₹2101.00
(iii)
₹2100.00
(iv)
₹2099.00
(v)
₹898.00
Question
12
12.
A can do a work in
8
days
and B can do the same work in
4
days
.
If they work together, in how much time is the work completed?
(i)
4
days
(ii)
2
days
(iii)
2
2
5
days
(iv)
3
1
3
days
(v)
2
2
3
days
Question
13
13.
A and B can do a piece of work in
12
days
and
16
days
respectively.
They work together for
1
day
and then B leaves.
In how many days the whole work is completed?
(i)
11
1
4
days
(ii)
11
3
4
days
(iii)
11
1
2
days
(iv)
10
3
4
days
(v)
11
1
6
days
Question
14
14.
A and B can do a work in
3
13
19
hr
,
B and C can do it in
4
1
5
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
,
15
hr
,
6
hr
)
(ii)
(
5
hr
,
14
hr
,
6
hr
)
(iii)
(
6
hr
,
14
hr
,
6
hr
)
(iv)
(
5
hr
,
15
hr
,
6
hr
)
(v)
(
5
hr
,
14
hr
,
7
hr
)
Question
15
15.
A and B can do a work in
7
days
, B and C can do in
7
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
20
21
days
(ii)
4
22
23
days
(iii)
4
18
23
days
(iv)
4
20
23
days
(v)
4
4
5
days
Question
16
16.
A certain number of men can do a work in
72
days
.
If there were
21
men
more
,
it would take
24
days
less
to complete the work.
How many men are required to complete the work in
54
days
?
(i)
54
(ii)
58
(iii)
55
(iv)
57
(v)
56
Question
17
17.
Two pipes can fill a tank in
6
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
11
1
3
min
from the time when both pipes are opened.
For how much time was first pipe open?
(i)
1
min
(ii)
2
min
(iii)
4
min
(iv)
3
min
(v)
0
min
Question
18
18.
A, B and C together can do a work in
1
1
9
days
.
If A and C can do the work in
5
days
and
5
days
respectively,
in how many days can B alone do the work?
(i)
4
days
(ii)
1
day
(iii)
3
days
(iv)
0
days
(v)
2
days
Question
19
19.
A can do
3
9
of a work in
2
1
3
hr
.
He works for
3
hr
when B joins him.
They work together and complete the work in
1
2
3
hr
.
In how much time, B alone can do the work?
(i)
5
hr
(ii)
6
hr
(iii)
4
hr
(iv)
2
hr
(v)
8
hr
Question
20
20.
A, B, C, D, and E can do a piece of work in
11
days
,
7
days
,
9
days
,
15
days
and
5
days
respectively.
Who has the greatest capacity to do work?
(i)
C
(ii)
D
(iii)
B
(iv)
A
(v)
E
Question
21
21.
A and B together can do a piece of work in
6
hr
.
They work together for
1
hr
and then A leaves.
B completes the remaining work in
12
1
2
hr
.
In how much time can each of them do the work seperately?
(i)
(
10
hr
,
14
hr
)
(ii)
(
9
hr
,
15
hr
)
(iii)
(
11
hr
,
15
hr
)
(iv)
(
10
hr
,
15
hr
)
(v)
(
10
hr
,
16
hr
)
Question
22
22.
A sum of
₹2611.00
will be given to do a work.
A and B can do it in
4
12
19
days
.
B and C can do in
5
5
23
days
.
C and A can do in
6
9
26
days
.
How much A, B and C respectively will get if all three work together?
(i)
(
₹616
,
₹1155
,
₹840
)
(ii)
(
₹840
,
₹616
,
₹1155
)
(iii)
(
₹840
,
₹1155
,
₹616
)
(iv)
(
₹616
,
₹840
,
₹1155
)
(v)
(
₹1155
,
₹616
,
₹840
)
Question
23
23.
4
men take
8
days
to complete a work.
How much work is done by one man in one day?
(i)
1
32
(ii)
1
8
(iii)
(
-1
32
)
(iv)
1
4
(v)
3
32
Question
24
24.
4
skilled men can do a work in
6
days
.
4
unskilled men can do the same work in
8
days
.
In how many days can
6
skilled and
5
unskilled men do the same work?
(i)
2
4
13
days
(ii)
2
6
13
days
(iii)
2
2
5
days
(iv)
2
6
11
days
(v)
2
8
13
days
Question
25
25.
A can do a piece of work in
7
days
,
B can do the work in
12
days
and C in
8
days
respectively.
In how much time can they do it together?
(i)
2
50
59
days
(ii)
2
50
57
days
(iii)
2
52
59
days
(iv)
2
48
59
days
(v)
2
50
61
days
Assignment Key
1) (iii)
2) (iv)
3) (v)
4) (v)
5) (ii)
6) (v)
7) (iv)
8) (i)
9) (iv)
10) (iv)
11) (iii)
12) (v)
13) (i)
14) (ii)
15) (iv)
16) (v)
17) (ii)
18) (v)
19) (i)
20) (v)
21) (iv)
22) (iii)
23) (i)
24) (ii)
25) (i)
