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Class VI
Class VII
Class VIII
Class IX
Class X
ICSE Grade VII - Time and Work
Question
1
1.
Two pipes can fill a tank in
12
min
and
18
min
respectively.
Both pipes are
opened together and after some time the first pipe is closed and the tank
becomes full in
15
min
from the time when both pipes are opened.
For how much time was first pipe open?
-1
min
2
min
1
min
4
min
3
min
Question
2
2.
Due to a leak at the bottom, pipe Y takes
3
3
7
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?
4
hr
3
hr
1
hr
6
hr
2
hr
Question
3
3.
A and B together can do a piece of work in
5
1
11
days
.
They work together for
2
days
and then A leaves.
B completes the remaining work in
4
6
7
days
.
In how much time can each of them do the work seperately?
(
14
days
,
9
days
)
(
14
days
,
8
days
)
(
14
days
,
7
days
)
(
15
days
,
8
days
)
(
13
days
,
8
days
)
Question
4
4.
A can do a piece of work in
14
hr
,
B can do the work in
11
hr
and C in
9
hr
respectively.
In how much time can they do it together?
3
249
379
hr
3
251
379
hr
3
247
379
hr
3
249
377
hr
3
83
127
hr
Question
5
5.
A and B can do a piece of work in
13
days
and
14
days
respectively.
They work together for
4
days
and then B leaves.
In how many days the whole work is completed?
9
days
9
2
9
days
9
2
5
days
9
2
7
days
9
4
7
days
Question
6
6.
A sum of
₹572.00
will be given to do a work.
A and B can do it in
4
1
5
days
.
B and C can do in
5
11
23
days
.
C and A can do in
3
3
5
days
.
How much A, B and C respectively will get if all three work together?
(
₹273
,
₹182
,
₹117
)
(
₹273
,
₹117
,
₹182
)
(
₹117
,
₹182
,
₹273
)
(
₹182
,
₹273
,
₹117
)
(
₹182
,
₹117
,
₹273
)
Question
7
7.
A can do a piece of work in
10
days
,
B can do the work in
13
days
and C in
15
days
respectively.
In how much time can they do it together?
4
2
21
days
4
days
4
2
17
days
4
4
19
days
4
2
19
days
Question
8
8.
A, B, C, D, and E can do a piece of work in
13
days
,
12
days
,
7
days
,
11
days
and
9
days
respectively.
Who has the greatest capacity to do work?
A
B
C
E
D
Question
9
9.
A, B and C together can do a work in
1
1
5
days
.
If A and C can do the work in
3
days
and
4
days
respectively,
in how many days can B alone do the work?
5
days
3
days
4
days
1
day
7
days
Question
10
10.
A and B can do a work in
2
days
and
8
days
respectively.
They together undertook to do a piece of work for
₹5000.00
.
What is the share of B?
₹999.00
₹3998.00
₹4000.00
₹1001.00
₹1000.00
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