EduSahara™ Assignment
Name : Time and Work
Chapter : Time and Work
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
A can do a work in
7
days
and B can do the same work in
4
days
.
If they work together, in how much time is the work completed?
(i)
2
6
13
days
(ii)
2
6
11
days
(iii)
2
2
3
days
(iv)
2
8
11
days
(v)
2
4
11
days
Question
2
2.
A can do a work in
5
days
.
With the help of B, A can do the same work in
1
3
7
days
.
In how many days can B alone do the work?
(i)
4
days
(ii)
-1
days
(iii)
1
day
(iv)
3
days
(v)
2
days
Question
3
3.
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
8
days
.
If all three work together,
in how many days will the work be completed?
(i)
4
4
7
days
(ii)
4
4
5
days
(iii)
4
2
5
days
(iv)
5
1
3
days
(v)
5
1
5
days
Question
4
4.
A and B can do a piece of work in
14
days
and
15
days
respectively.
They work together for
5
days
and then B leaves.
In how many days the whole work is completed?
(i)
9
1
3
days
(ii)
9
1
5
days
(iii)
10
days
(iv)
8
2
3
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
2
(ii)
3
14
(iii)
(
-1
14
)
(iv)
1
7
(v)
1
14
Question
6
6.
Pipe A can fill a tank in
2
hr
and pipe B can empty the full tank in
8
hr
.
If both the pipes are opened together,
in how much time will the tank become full?
(i)
3
1
3
hr
(ii)
2
hr
(iii)
4
hr
(iv)
2
2
5
hr
(v)
2
2
3
hr
Question
7
7.
Two pipes can fill a tank in
12
min
and
27
min
respectively.
Both pipes are
opened together and after some time the first pipe is closed and the tank
becomes full in
20
1
4
min
from the time when both pipes are opened.
For how much time was first pipe open?
(i)
5
min
(ii)
1
min
(iii)
3
min
(iv)
4
min
(v)
2
min
Question
8
8.
Due to a leak at the bottom, pipe Y takes
9
1
7
hr
to fill the tank.
The leak alone can empty the full tank in
64
hr
.
In what time can pipe Y alone fill the tank when the leak is closed?
(i)
9
hr
(ii)
7
hr
(iii)
11
hr
(iv)
5
hr
(v)
8
hr
Question
9
9.
8
men can do a work in
6
days working
9
hours a day.
In how many days can
12
men do the same work, working
7
hours a day?
(i)
5
1
7
days
(ii)
5
3
7
days
(iii)
5
1
5
days
(iv)
4
6
7
days
(v)
5
1
9
days
Question
10
10.
8
skilled men can do a work in
4
days
.
5
unskilled men can do the same work in
7
days
.
In how many days can
9
skilled and
4
unskilled men do the same work?
(i)
2
234
443
days
(ii)
2
26
49
days
(iii)
2
232
443
days
(iv)
2
236
443
days
(v)
2
234
445
days
Question
11
11.
A, B and C together can do a work in
1
2
13
days
.
If A and C can do the work in
3
days
and
5
days
respectively,
in how many days can B alone do the work?
(i)
4
days
(ii)
3
days
(iii)
2
days
(iv)
1
day
(v)
6
days
Question
12
12.
A certain number of men can do a work in
14
days
.
If there were
32
men
more
,
it would take
8
days
less
to complete the work.
How many men are required to complete the work in
21
days
?
(i)
18
(ii)
17
(iii)
15
(iv)
16
(v)
14
Question
13
13.
A and B can do a work in
9
days
and
6
days
respectively.
They together undertook to do a piece of work for
₹3000.00
.
What is the share of B?
(i)
₹1200.00
(ii)
₹1800.00
(iii)
₹1799.00
(iv)
₹1801.00
(v)
₹1198.00
Question
14
14.
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)
3
days
(ii)
6
days
(iii)
7
days
(iv)
5
days
(v)
8
days
Question
15
15.
A, B, C, D, and E can do a piece of work in
13
hr
,
9
hr
,
12
hr
,
15
hr
and
11
hr
respectively.
Who has the greatest capacity to do work?
(i)
B
(ii)
E
(iii)
C
(iv)
A
(v)
D
Question
16
16.
A, B, C, D, and E can do a piece of work in
14
days
,
12
days
,
9
days
,
7
days
and
6
days
respectively.
Who has the greatest capacity to do work?
(i)
E
(ii)
C
(iii)
B
(iv)
A
(v)
D
Question
17
17.
A and B can do a work in
3
15
17
hr
,
B and C can do it in
5
17
23
hr
and C and A can do it in
4
hr
.
In how much time can
each of them do it seperately?
(i)
(
7
hr
,
11
hr
,
12
hr
)
(ii)
(
6
hr
,
12
hr
,
12
hr
)
(iii)
(
6
hr
,
11
hr
,
12
hr
)
(iv)
(
6
hr
,
11
hr
,
13
hr
)
(v)
(
7
hr
,
12
hr
,
12
hr
)
Question
18
18.
A and B can do a work in
5
11
23
days
,
B and C can do it in
3
15
16
days
and C and A can do it in
4
2
3
days
.
In how much time can
each of them do it seperately?
(i)
(
15
days
,
10
days
,
7
days
)
(ii)
(
15
days
,
9
days
,
7
days
)
(iii)
(
14
days
,
9
days
,
8
days
)
(iv)
(
14
days
,
9
days
,
7
days
)
(v)
(
14
days
,
10
days
,
7
days
)
Question
19
19.
A can do a piece of work in
11
hr
,
B can do the work in
7
hr
and C in
8
hr
respectively.
In how much time can they do it together?
(i)
2
174
221
hr
(ii)
2
176
221
hr
(iii)
2
172
221
hr
(iv)
2
174
223
hr
(v)
2
58
73
hr
Question
20
20.
A can do a piece of work in
13
days
,
B can do the work in
7
days
and C in
10
days
respectively.
In how much time can they do it together?
(i)
3
35
291
days
(ii)
3
37
293
days
(iii)
3
37
289
days
(iv)
3
13
97
days
(v)
3
37
291
days
Question
21
21.
A and B together can do a piece of work in
5
7
22
hr
.
They work together for
2
hr
and then A leaves.
B completes the remaining work in
5
8
13
hr
.
In how much time can each of them do the work seperately?
(i)
(
13
hr
,
8
hr
)
(ii)
(
14
hr
,
9
hr
)
(iii)
(
13
hr
,
9
hr
)
(iv)
(
13
hr
,
10
hr
)
(v)
(
12
hr
,
9
hr
)
Question
22
22.
A and B together can do a piece of work in
5
11
23
days
.
They work together for
1
day
and then A leaves.
B completes the remaining work in
11
4
9
days
.
In how much time can each of them do the work seperately?
(i)
(
9
days
,
14
days
)
(ii)
(
9
days
,
13
days
)
(iii)
(
9
days
,
15
days
)
(iv)
(
10
days
,
14
days
)
(v)
(
8
days
,
14
days
)
Question
23
23.
A can do
14
15
of a work in
13
1
15
hr
.
He works for
2
hr
when B joins him.
They work together and complete the work in
3
3
19
hr
.
In how much time, B alone can do the work?
(i)
6
hr
(ii)
5
hr
(iii)
7
hr
(iv)
4
hr
(v)
2
hr
Question
24
24.
A sum of
₹786.00
will be given to do a work.
A and B can do it in
3
11
15
hr
.
B and C can do in
3
1
13
hr
.
C and A can do in
2
11
12
hr
.
How much A, B and C respectively will get if all three work together?
(i)
(
₹336
,
₹240
,
₹210
)
(ii)
(
₹336
,
₹210
,
₹240
)
(iii)
(
₹240
,
₹336
,
₹210
)
(iv)
(
₹240
,
₹210
,
₹336
)
(v)
(
₹210
,
₹336
,
₹240
)
Question
25
25.
A sum of
₹505.00
will be given to do a work.
A and B can do it in
3
3
7
days
.
B and C can do in
4
12
19
days
.
C and A can do in
3
15
17
days
.
How much A, B and C respectively will get if all three work together?
(i)
(
₹165
,
₹120
,
₹220
)
(ii)
(
₹120
,
₹165
,
₹220
)
(iii)
(
₹220
,
₹120
,
₹165
)
(iv)
(
₹220
,
₹165
,
₹120
)
(v)
(
₹120
,
₹220
,
₹165
)
Assignment Key
1) (ii)
2) (v)
3) (ii)
4) (i)
5) (v)
6) (v)
7) (iii)
8) (v)
9) (i)
10) (i)
11) (ii)
12) (iv)
13) (ii)
14) (ii)
15) (i)
16) (i)
17) (iii)
18) (iv)
19) (i)
20) (v)
21) (iii)
22) (i)
23) (ii)
24) (iv)
25) (iv)
