EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Time and Work
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Two pipes can fill a tank in
14
min
and
25
min
respectively.
Both pipes are
opened together and after some time the first pipe is closed and the tank
becomes full in
21
3
7
min
from the time when both pipes are opened.
For how much time was first pipe open?
(i)
2
min
(ii)
0
min
(iii)
5
min
(iv)
3
min
(v)
1
min
Question
2
2.
A and B can do a work in
4
2
19
hr
,
B and C can do it in
4
11
20
hr
and C and A can do it in
3
3
13
hr
.
In how much time can
each of them do it seperately?
(i)
(
7
hr
,
14
hr
,
7
hr
)
(ii)
(
7
hr
,
13
hr
,
7
hr
)
(iii)
(
6
hr
,
14
hr
,
7
hr
)
(iv)
(
6
hr
,
13
hr
,
8
hr
)
(v)
(
6
hr
,
13
hr
,
7
hr
)
Question
3
3.
A can do a work in
8
days
.
With the help of B, A can do the same work in
1
3
5
days
.
In how many days can B alone do the work?
(i)
2
days
(ii)
5
days
(iii)
0
days
(iv)
3
days
(v)
1
day
Question
4
4.
13
men can do a work in
11
days working
10
hours a day.
In how many days can
13
men do the same work, working
8
hours a day?
(i)
13
3
4
days
(ii)
13
1
4
days
(iii)
14
1
2
days
(iv)
14
1
4
days
(v)
13
1
2
days
Question
5
5.
A, B, C, D, and E can do a piece of work in
12
days
,
6
days
,
9
days
,
5
days
and
14
days
respectively.
Who has the greatest capacity to do work?
(i)
B
(ii)
C
(iii)
E
(iv)
D
(v)
A
Question
6
6.
A can do
1
6
of a work in
2
1
3
hr
.
He works for
2
hr
when B joins him.
They work together and complete the work in
5
hr
.
In how much time, B alone can do the work?
(i)
7
hr
(ii)
10
hr
(iii)
12
hr
(iv)
9
hr
(v)
11
hr
Question
7
7.
A sum of
₹2853.00
will be given to do a work.
A and B can do it in
3
11
18
hr
.
B and C can do in
3
13
19
hr
.
C and A can do in
6
20
27
hr
.
How much A, B and C respectively will get if all three work together?
(i)
(
₹630
,
₹1638
,
₹585
)
(ii)
(
₹585
,
₹1638
,
₹630
)
(iii)
(
₹630
,
₹585
,
₹1638
)
(iv)
(
₹585
,
₹630
,
₹1638
)
(v)
(
₹1638
,
₹585
,
₹630
)
Question
8
8.
A and B can do a work in
7
days
and
2
days
respectively.
They together undertook to do a piece of work for
₹1800.00
.
What is the share of B?
(i)
₹1401.00
(ii)
₹398.00
(iii)
₹1399.00
(iv)
₹400.00
(v)
₹1400.00
Question
9
9.
A can do a piece of work in
9
hr
,
B can do the work in
7
hr
and C in
5
hr
respectively.
In how much time can they do it together?
(i)
2
29
143
hr
(ii)
2
27
143
hr
(iii)
2
1
5
hr
(iv)
2
29
141
hr
(v)
2
31
143
hr
Question
10
10.
A and B together can do a piece of work in
6
2
3
hr
.
They work together for
3
hr
and then A leaves.
B completes the remaining work in
6
3
5
hr
.
In how much time can each of them do the work seperately?
(i)
(
15
hr
,
13
hr
)
(ii)
(
15
hr
,
11
hr
)
(iii)
(
16
hr
,
12
hr
)
(iv)
(
15
hr
,
12
hr
)
(v)
(
14
hr
,
12
hr
)
Question
11
11.
A certain number of men can do a work in
14
days
.
If there were
28
men
less
,
it would take
49
days
more
to complete the work.
How many men are required to complete the work in
18
days
?
(i)
26
(ii)
30
(iii)
27
(iv)
29
(v)
28
Question
12
12.
A and B together can do a piece of work in
3
3
5
days
.
They work together for
1
day
and then A leaves.
B completes the remaining work in
6
1
2
days
.
In how much time can each of them do the work seperately?
(i)
(
5
days
,
9
days
)
(ii)
(
6
days
,
10
days
)
(iii)
(
7
days
,
9
days
)
(iv)
(
6
days
,
9
days
)
(v)
(
6
days
,
8
days
)
Question
13
13.
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)
10
3
4
hr
(iii)
11
1
6
hr
(iv)
11
3
4
hr
(v)
11
1
2
hr
Question
14
14.
A, B, C, D, and E can do a piece of work in
9
hr
,
10
hr
,
11
hr
,
7
hr
and
6
hr
respectively.
Who has the greatest capacity to do work?
(i)
C
(ii)
E
(iii)
D
(iv)
A
(v)
B
Question
15
15.
A and B can do a work in
3
3
4
days
,
B and C can do it in
6
9
26
days
and C and A can do it in
3
7
16
days
.
In how much time can
each of them do it seperately?
(i)
(
5
days
,
16
days
,
11
days
)
(ii)
(
5
days
,
15
days
,
12
days
)
(iii)
(
6
days
,
16
days
,
11
days
)
(iv)
(
6
days
,
15
days
,
11
days
)
(v)
(
5
days
,
15
days
,
11
days
)
Question
16
16.
A and B can do a piece of work in
16
days
and
19
days
respectively.
They work together for
6
days
and then B leaves.
In how many days the whole work is completed?
(i)
10
6
7
days
(ii)
10
16
19
days
(iii)
11
1
19
days
(iv)
10
18
19
days
(v)
11
1
17
days
Question
17
17.
A and B can do a work in
5
days
, B and C can do in
8
days
and C and A can do in
6
days
.
If all three work together,
in how many days will the work be completed?
(i)
4
4
57
days
(ii)
4
4
61
days
(iii)
4
2
59
days
(iv)
4
6
59
days
(v)
4
4
59
days
Question
18
18.
5
skilled men can do a work in
5
days
.
8
unskilled men can do the same work in
6
days
.
In how many days can
4
skilled and
2
unskilled men do the same work?
(i)
4
116
121
days
(ii)
4
118
121
days
(iii)
4
114
121
days
(iv)
4
116
123
days
(v)
4
116
119
days
Question
19
19.
P and Q can do together a piece of work in
5
5
23
days
.
After they have worked together for
4
days
,
P stops.
Q completes the remaining work in
1
13
15
days
.
In how many days can Q alone do the work?
(i)
11
days
(ii)
8
days
(iii)
7
days
(iv)
9
days
(v)
5
days
Question
20
20.
A can do a piece of work in
14
days
,
B can do the work in
15
days
and C in
15
days
respectively.
In how much time can they do it together?
(i)
4
38
45
days
(ii)
4
40
43
days
(iii)
4
38
41
days
(iv)
4
36
43
days
(v)
4
38
43
days
Question
21
21.
A sum of
₹310.00
will be given to do a work.
A and B can do it in
5
5
8
days
.
B and C can do in
3
3
5
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)
(
₹100
,
₹150
,
₹60
)
(ii)
(
₹150
,
₹60
,
₹100
)
(iii)
(
₹150
,
₹100
,
₹60
)
(iv)
(
₹60
,
₹150
,
₹100
)
(v)
(
₹60
,
₹100
,
₹150
)
Question
22
22.
2
men take
2
days
to complete a work.
How much work is done by one man in one day?
(i)
1
2
(ii)
1
4
(iii)
3
4
(iv)
(
-1
4
)
Question
23
23.
A can do a work in
5
days
and B can do the same work in
8
days
.
If they work together, in how much time is the work completed?
(i)
3
1
15
days
(ii)
3
1
13
days
(iii)
2
12
13
days
(iv)
3
1
11
days
(v)
3
3
13
days
Question
24
24.
A, B and C together can do a work in
30
31
days
.
If A and C can do the work in
5
days
and
2
days
respectively,
in how many days can B alone do the work?
(i)
6
days
(ii)
3
days
(iii)
2
days
(iv)
4
days
(v)
0
days
Question
25
25.
Due to a leak at the bottom, pipe Y takes
13
1
2
hr
to fill the tank.
The leak alone can empty the full tank in
27
hr
.
In what time can pipe Y alone fill the tank when the leak is closed?
(i)
7
hr
(ii)
8
hr
(iii)
11
hr
(iv)
10
hr
(v)
9
hr
Assignment Key
1) (i)
2) (v)
3) (i)
4) (i)
5) (iv)
6) (ii)
7) (i)
8) (v)
9) (i)
10) (iv)
11) (v)
12) (iv)
13) (i)
14) (ii)
15) (v)
16) (iv)
17) (v)
18) (i)
19) (ii)
20) (v)
21) (v)
22) (ii)
23) (ii)
24) (ii)
25) (v)