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
8
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
3
5
days
(ii)
1
3
7
days
(iii)
1
1
5
days
(iv)
2
days
Question
2
2.
A can do a work in
7
days
.
With the help of B, A can do the same work in
3
1
2
days
.
In how many days can B alone do the work?
(i)
6
days
(ii)
4
days
(iii)
7
days
(iv)
8
days
(v)
9
days
Question
3
3.
A and B can do a work in
6
days
, B and C can do in
9
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
3
7
days
(ii)
5
1
5
days
(iii)
4
6
7
days
(iv)
5
1
7
days
(v)
5
1
9
days
Question
4
4.
A and B can do a piece of work in
14
days
and
18
days
respectively.
They work together for
3
days
and then B leaves.
In how many days the whole work is completed?
(i)
11
2
5
days
(ii)
12
1
3
days
(iii)
11
days
(iv)
11
2
3
days
(v)
13
days
Question
5
5.
3
men take
8
days
to complete a work.
How much work is done by one man in one day?
(i)
1
8
(ii)
(
-1
24
)
(iii)
1
24
(iv)
1
3
Question
6
6.
Pipe A can fill a tank in
5
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)
5
5
8
hr
(ii)
5
1
2
hr
(iii)
5
5
6
hr
(iv)
5
3
8
hr
(v)
5
7
8
hr
Question
7
7.
Two pipes can fill a tank in
5
min
and
11
min
respectively.
Both pipes are
opened together and after some time the first pipe is closed and the tank
becomes full in
8
4
5
min
from the time when both pipes are opened.
For how much time was first pipe open?
(i)
-2
min
(ii)
2
min
(iii)
1
min
(iv)
0
min
(v)
4
min
Question
8
8.
Due to a leak at the bottom, pipe Y takes
3
hr
to fill the tank.
The leak alone can empty the full tank in
6
hr
.
In what time can pipe Y alone fill the tank when the leak is closed?
(i)
3
hr
(ii)
2
hr
(iii)
0
hr
(iv)
1
hr
(v)
4
hr
Question
9
9.
19
men can do a work in
19
days working
5
hours a day.
In how many days can
12
men do the same work, working
8
hours a day?
(i)
18
77
94
days
(ii)
18
77
96
days
(iii)
18
79
96
days
(iv)
18
11
14
days
(v)
18
25
32
days
Question
10
10.
2
men and
3
women can do a piece of work in
16
days.
1
men and
1
women can do the same work in
32
days.
In how many days can
3
men and
3
women complete the same work?
(i)
12
days
(ii)
10
2
5
days
(iii)
10
2
3
days
(iv)
11
1
3
days
(v)
10
days
Question
11
11.
3
skilled men can do a work in
4
days
.
4
unskilled men can do the same work in
8
days
.
In how many days can
4
skilled and
8
unskilled men do the same work?
(i)
1
3
7
days
(ii)
1
5
9
days
(iii)
2
days
(iv)
1
5
7
days
Question
12
12.
A, B and C together can do a work in
1
day
.
If A and C can do the work in
4
days
and
4
days
respectively,
in how many days can B alone do the work?
(i)
1
day
(ii)
3
days
(iii)
5
days
(iv)
0
days
(v)
2
days
Question
13
13.
A certain number of men can do a work in
24
days
.
If there were
6
men
less
,
it would take
12
days
more
to complete the work.
How many men are required to complete the work in
54
days
?
(i)
10
(ii)
7
(iii)
6
(iv)
8
(v)
9
Question
14
14.
A and B can do a work in
5
days
and
4
days
respectively.
They together undertook to do a piece of work for
₹1800.00
.
What is the share of B?
(i)
₹999.00
(ii)
₹1000.00
(iii)
₹1001.00
(iv)
₹798.00
(v)
₹800.00
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)
13
days
(ii)
15
days
(iii)
11
days
(iv)
14
days
(v)
17
days
Question
16
16.
Person P is
six times
as good a workman as Person Q.
They can do a work together in
2
4
7
days
.
In how many days Q alone can do the work?
(i)
21
days
(ii)
16
days
(iii)
18
days
(iv)
19
days
(v)
17
days
Question
17
17.
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
2
1
2
days
.
In how many days can Q alone do the work?
(i)
5
days
(ii)
9
days
(iii)
4
days
(iv)
6
days
(v)
7
days
Question
18
18.
A can do a piece of work in
11
hr
and B in
7
hr
.
A does the work for
5
hr
before B join A to work together.
Again after
2
hr
C joins both A and B to complete the work in
36
185
hr
.
In how much time C alone can do the work?
(i)
3
hr
(ii)
6
hr
(iii)
7
hr
(iv)
5
hr
(v)
8
hr
Question
19
19.
A, B, C, D, and E can do a piece of work in
11
hr
,
5
hr
,
9
hr
,
15
hr
and
12
hr
respectively.
Who has the greatest capacity to do work?
(i)
C
(ii)
D
(iii)
E
(iv)
B
(v)
A
Question
20
20.
A, B, C, D, and E can do a piece of work in
15
days
,
13
days
,
10
days
,
12
days
and
8
days
respectively.
Who has the greatest capacity to do work?
(i)
E
(ii)
A
(iii)
D
(iv)
B
(v)
C
Question
21
21.
A and B can do a work in
5
5
8
hr
,
B and C can do it in
4
1
2
hr
and C and A can do it in
5
5
8
hr
.
In how much time can
each of them do it seperately?
(i)
(
15
hr
,
9
hr
,
10
hr
)
(ii)
(
15
hr
,
9
hr
,
9
hr
)
(iii)
(
16
hr
,
9
hr
,
9
hr
)
(iv)
(
16
hr
,
10
hr
,
9
hr
)
(v)
(
15
hr
,
10
hr
,
9
hr
)
Question
22
22.
A can do a piece of work in
12
hr
,
B can do the work in
9
hr
and C in
12
hr
respectively.
In how much time can they do it together?
(i)
3
1
5
hr
(ii)
3
3
7
hr
(iii)
3
3
5
hr
(iv)
4
hr
Question
23
23.
A and B together can do a piece of work in
4
4
5
hr
.
They work together for
1
hr
and then A leaves.
B completes the remaining work in
9
1
2
hr
.
In how much time can each of them do the work seperately?
(i)
(
9
hr
,
12
hr
)
(ii)
(
8
hr
,
13
hr
)
(iii)
(
8
hr
,
11
hr
)
(iv)
(
8
hr
,
12
hr
)
(v)
(
7
hr
,
12
hr
)
Question
24
24.
A can do
4
5
of a work in
12
hr
.
He works for
3
hr
when B joins him.
They work together and complete the work in
4
4
23
hr
.
In how much time, B alone can do the work?
(i)
9
hr
(ii)
5
hr
(iii)
8
hr
(iv)
11
hr
(v)
7
hr
Question
25
25.
A can construct
8
9
of a wall in
5
1
3
hr
.
B can construct
7
9
of the wall in
5
4
9
hr
.
C can construct
8
10
of the wall in
4
4
5
hr
.
If all three work together, in how much time will they
construct
4
5
of the wall?
(i)
1
3
5
hr
(ii)
1
17
23
hr
(iii)
1
19
25
hr
(iv)
1
17
27
hr
(v)
1
17
25
hr
Question
26
26.
A, B and C can together do a piece of work in
2
2
5
hr
.
B and C can do it in
3
3
7
hr
.
C alone can do it in
8
hr
.
In how much time A and C can do the work together?
(i)
6
hr
(ii)
3
hr
(iii)
4
hr
(iv)
1
hr
(v)
5
hr
Question
27
27.
A sum of
₹1062.00
will be given to do a work.
A and B can do it in
5
1
11
hr
.
B and C can do in
6
4
25
hr
.
C and A can do in
4
12
19
hr
.
How much A, B and C respectively will get if all three work together?
(i)
(
₹336
,
₹462
,
₹264
)
(ii)
(
₹264
,
₹336
,
₹462
)
(iii)
(
₹462
,
₹264
,
₹336
)
(iv)
(
₹336
,
₹264
,
₹462
)
(v)
(
₹462
,
₹336
,
₹264
)
Assignment Key
1) (i)
2) (iii)
3) (iv)
4) (iv)
5) (iii)
6) (i)
7) (iii)
8) (ii)
9) (ii)
10) (iii)
11) (iv)
12) (v)
13) (iv)
14) (ii)
15) (iv)
16) (iii)
17) (iv)
18) (ii)
19) (iv)
20) (i)
21) (ii)
22) (iii)
23) (iv)
24) (iii)
25) (v)
26) (iii)
27) (iii)
