EduSahara™ Assignment
Name : Time and Work
Chapter : Time and Work
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
A can do a work in
7
days
and B can do the same work in
2
days
.
If they work together, in how much time is the work completed?
(i)
1
5
9
days
(ii)
1
5
11
days
(iii)
1
7
9
days
(iv)
1
1
3
days
(v)
1
5
7
days
Question
2
2.
A can do a work in
3
days
.
With the help of B, A can do the same work in
2
days
.
In how many days can B alone do the work?
(i)
3
days
(ii)
9
days
(iii)
5
days
(iv)
7
days
(v)
6
days
Question
3
3.
A and B can do a work in
8
days
, B and C can do in
5
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
38
131
days
(ii)
4
36
131
days
(iii)
4
12
43
days
(iv)
4
36
133
days
(v)
4
34
131
days
Question
4
4.
A and B can do a piece of work in
15
days
and
14
days
respectively.
They work together for
6
days
and then B leaves.
In how many days the whole work is completed?
(i)
8
6
7
days
(ii)
8
4
5
days
(iii)
8
4
9
days
(iv)
8
2
7
days
(v)
8
4
7
days
Question
5
5.
7
men take
2
days
to complete a work.
How much work is done by one man in one day?
(i)
1
14
(ii)
3
14
(iii)
(
-1
14
)
(iv)
1
2
(v)
1
7
Question
6
6.
Pipe A can fill a tank in
6
hr
and pipe B can empty the full tank in
42
hr
.
If both the pipes are opened together,
in how much time will the tank become full?
(i)
7
hr
(ii)
6
hr
(iii)
5
hr
(iv)
9
hr
(v)
8
hr
Question
7
7.
Two pipes can fill a tank in
15
min
and
26
min
respectively.
Both pipes are
opened together and after some time the first pipe is closed and the tank
becomes full in
17
1
3
min
from the time when both pipes are opened.
For how much time was first pipe open?
(i)
6
min
(ii)
3
min
(iii)
4
min
(iv)
5
min
(v)
7
min
Question
8
8.
Due to a leak at the bottom, pipe Y takes
10
1
2
hr
to fill the tank.
The leak alone can empty the full tank in
63
hr
.
In what time can pipe Y alone fill the tank when the leak is closed?
(i)
7
hr
(ii)
10
hr
(iii)
8
hr
(iv)
11
hr
(v)
9
hr
Question
9
9.
18
men can do a work in
17
days working
4
hours a day.
In how many days can
10
men do the same work, working
9
hours a day?
(i)
13
1
5
days
(ii)
13
3
7
days
(iii)
13
3
5
days
(iv)
14
days
Question
10
10.
9
men and
10
women can do a piece of work in
2
days.
25
men and
9
women can do the same work in
2
days.
In how many days can
3
men and
5
women complete the same work?
(i)
4
2
27
days
(ii)
4
4
83
days
(iii)
4
6
85
days
(iv)
4
6
83
days
(v)
4
8
83
days
Question
11
11.
3
skilled men can do a work in
8
days
.
3
unskilled men can do the same work in
9
days
.
In how many days can
5
skilled and
2
unskilled men do the same work?
(i)
3
33
61
days
(ii)
3
33
59
days
(iii)
3
35
61
days
(iv)
3
31
61
days
(v)
3
11
21
days
Question
12
12.
A, B and C together can do a work in
5
6
days
.
If A and C can do the work in
2
days
and
5
days
respectively,
in how many days can B alone do the work?
(i)
5
days
(ii)
-1
days
(iii)
2
days
(iv)
1
day
(v)
3
days
Question
13
13.
A certain number of men can do a work in
6
days
.
If there were
21
men
less
,
it would take
6
days
more
to complete the work.
How many men are required to complete the work in
18
days
?
(i)
13
(ii)
15
(iii)
16
(iv)
12
(v)
14
Question
14
14.
A and B can do a work in
5
days
and
9
days
respectively.
They together undertook to do a piece of work for
₹11200.00
.
What is the share of B?
(i)
₹7198.00
(ii)
₹7200.00
(iii)
₹4001.00
(iv)
₹4000.00
(v)
₹3999.00
Question
15
15.
A and B can do a work in
20
days
and
10
days
respectively.
If they work on alternate days and A begins the work,
in how many days can it be completed?
(i)
14
days
(ii)
13
days
(iii)
15
days
(iv)
16
days
(v)
12
days
Question
16
16.
Person P is
eight times
as good a workman as Person Q.
They can do a work together in
5
1
3
days
.
In how many days Q alone can do the work?
(i)
48
days
(ii)
49
days
(iii)
51
days
(iv)
46
days
(v)
47
days
Question
17
17.
P and Q can do together a piece of work in
3
1
13
days
.
After they have worked together for
2
days
,
P stops.
Q completes the remaining work in
1
3
4
days
.
In how many days can Q alone do the work?
(i)
6
days
(ii)
5
days
(iii)
7
days
(iv)
4
days
(v)
3
days
Question
18
18.
A can do a piece of work in
10
hr
and B in
7
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
45
86
hr
.
In how much time C alone can do the work?
(i)
7
hr
(ii)
5
hr
(iii)
4
hr
(iv)
9
hr
(v)
6
hr
Question
19
19.
A, B, C, D, and E can do a piece of work in
9
hr
,
11
hr
,
12
hr
,
5
hr
and
10
hr
respectively.
Who has the greatest capacity to do work?
(i)
A
(ii)
C
(iii)
D
(iv)
B
(v)
E
Question
20
20.
A, B, C, D, and E can do a piece of work in
7
days
,
15
days
,
9
days
,
8
days
and
14
days
respectively.
Who has the greatest capacity to do work?
(i)
D
(ii)
E
(iii)
A
(iv)
B
(v)
C
Question
21
21.
A and B can do a work in
4
17
22
hr
,
B and C can do it in
5
5
8
hr
and C and A can do it in
3
15
16
hr
.
In how much time can
each of them do it seperately?
(i)
(
7
hr
,
15
hr
,
9
hr
)
(ii)
(
7
hr
,
15
hr
,
10
hr
)
(iii)
(
8
hr
,
16
hr
,
9
hr
)
(iv)
(
7
hr
,
16
hr
,
9
hr
)
(v)
(
8
hr
,
15
hr
,
9
hr
)
Question
22
22.
A can do a piece of work in
8
hr
,
B can do the work in
15
hr
and C in
9
hr
respectively.
In how much time can they do it together?
(i)
3
33
107
hr
(ii)
3
33
109
hr
(iii)
3
11
37
hr
(iv)
3
31
109
hr
(v)
3
35
109
hr
Question
23
23.
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)
(
7
hr
,
13
hr
)
(ii)
(
8
hr
,
13
hr
)
(iii)
(
7
hr
,
14
hr
)
(iv)
(
7
hr
,
12
hr
)
(v)
(
6
hr
,
13
hr
)
Question
24
24.
A can do
4
12
of a work in
3
2
3
hr
.
He works for
4
hr
when B joins him.
They work together and complete the work in
2
8
17
hr
.
In how much time, B alone can do the work?
(i)
7
hr
(ii)
5
hr
(iii)
4
hr
(iv)
6
hr
(v)
9
hr
Question
25
25.
A can construct
1
10
of a wall in
1
2
hr
.
B can construct
1
9
of the wall in
1
hr
.
C can construct
3
6
of the wall in
4
hr
.
If all three work together, in how much time will they
construct
2
7
of the wall?
(i)
240
367
hr
(ii)
718
1099
hr
(iii)
722
1099
hr
(iv)
720
1099
hr
(v)
720
1097
hr
Question
26
26.
A, B and C can together do a piece of work in
2
16
27
hr
.
B and C can do it in
4
2
17
hr
.
C alone can do it in
10
hr
.
In how much time A and C can do the work together?
(i)
4
2
17
hr
(ii)
4
2
19
hr
(iii)
4
4
17
hr
(iv)
4
hr
(v)
4
2
15
hr
Question
27
27.
A sum of
₹885.00
will be given to do a work.
A and B can do it in
4
2
3
hr
.
B and C can do in
7
7
29
hr
.
C and A can do in
4
17
22
hr
.
How much A, B and C respectively will get if all three work together?
(i)
(
₹210
,
₹450
,
₹225
)
(ii)
(
₹225
,
₹210
,
₹450
)
(iii)
(
₹450
,
₹225
,
₹210
)
(iv)
(
₹450
,
₹210
,
₹225
)
(v)
(
₹210
,
₹225
,
₹450
)
Assignment Key
1) (i)
2) (v)
3) (ii)
4) (v)
5) (i)
6) (i)
7) (iv)
8) (v)
9) (iii)
10) (iv)
11) (i)
12) (iii)
13) (v)
14) (iv)
15) (i)
16) (i)
17) (ii)
18) (v)
19) (iii)
20) (iii)
21) (i)
22) (ii)
23) (i)
24) (iv)
25) (iv)
26) (i)
27) (iii)
