EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Time and Work
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
A sum of
₹165.00
will be given to do a work.
A and B can do it in
3
3
4
hr
.
B and C can do in
6
hr
.
C and A can do in
3
1
3
hr
.
How much A, B and C respectively will get if all three work together?
(i)
(
₹90
,
₹30
,
₹45
)
(ii)
(
₹45
,
₹90
,
₹30
)
(iii)
(
₹30
,
₹45
,
₹90
)
(iv)
(
₹90
,
₹45
,
₹30
)
(v)
(
₹45
,
₹30
,
₹90
)
Question
2
2.
A and B can do a work in
7
days
, B and C can do in
9
days
and C and A can do in
5
days
.
If all three work together,
in how many days will the work be completed?
(i)
4
60
143
days
(ii)
4
2
5
days
(iii)
4
56
143
days
(iv)
4
58
143
days
(v)
4
58
141
days
Question
3
3.
Due to a leak at the bottom, pipe Y takes
2
1
4
hr
to fill the tank.
The leak alone can empty the full tank in
18
hr
.
In what time can pipe Y alone fill the tank when the leak is closed?
(i)
1
hr
(ii)
4
hr
(iii)
3
hr
(iv)
2
hr
(v)
0
hr
Question
4
4.
A can do a piece of work in
7
days
,
B can do the work in
11
days
and C in
9
days
respectively.
In how much time can they do it together?
(i)
2
215
239
days
(ii)
2
215
237
days
(iii)
2
215
241
days
(iv)
2
217
239
days
(v)
2
213
239
days
Question
5
5.
7
skilled men can do a work in
6
days
.
7
unskilled men can do the same work in
6
days
.
In how many days can
4
skilled and
6
unskilled men do the same work?
(i)
4
3
5
days
(ii)
4
1
5
days
(iii)
4
1
3
days
(iv)
3
4
5
days
(v)
4
1
7
days
Question
6
6.
A sum of
₹1435.00
will be given to do a work.
A and B can do it in
3
15
17
days
.
B and C can do in
4
2
19
days
.
C and A can do in
5
23
24
days
.
How much A, B and C respectively will get if all three work together?
(i)
(
₹390
,
₹330
,
₹715
)
(ii)
(
₹390
,
₹715
,
₹330
)
(iii)
(
₹330
,
₹715
,
₹390
)
(iv)
(
₹330
,
₹390
,
₹715
)
(v)
(
₹715
,
₹330
,
₹390
)
Question
7
7.
A and B can do a piece of work in
14
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)
9
11
17
days
(ii)
9
11
21
days
(iii)
9
13
19
days
(iv)
9
9
19
days
(v)
9
11
19
days
Question
8
8.
A, B and C can together do a piece of work in
2
11
12
hr
.
B and C can do it in
4
2
17
hr
.
C alone can do it in
7
hr
.
In how much time A and C can do the work together?
(i)
4
hr
(ii)
4
2
17
hr
(iii)
4
2
15
hr
(iv)
4
2
19
hr
(v)
4
4
17
hr
Question
9
9.
Person P is
thrice
as good a workman as Person Q.
They can do a work together in
3
days
.
In how many days Q alone can do the work?
(i)
12
days
(ii)
11
days
(iii)
10
days
(iv)
15
days
(v)
13
days
Question
10
10.
A, B, C, D, and E can do a piece of work in
8
days
,
11
days
,
9
days
,
12
days
and
10
days
respectively.
Who has the greatest capacity to do work?
(i)
B
(ii)
E
(iii)
D
(iv)
C
(v)
A
Question
11
11.
A can construct
3
9
of a wall in
1
2
3
days
.
B can construct
6
8
of the wall in
3
3
4
days
.
C can construct
7
10
of the wall in
6
3
10
days
.
If all three work together, in how much time will they
construct
5
6
of the wall?
(i)
1
29
48
days
(ii)
1
27
46
days
(iii)
1
29
44
days
(iv)
1
29
46
days
(v)
1
31
46
days
Question
12
12.
A can construct
4
6
of a wall in
6
2
3
hr
.
B can construct
3
5
of the wall in
4
1
5
hr
.
C can construct
8
9
of the wall in
4
4
9
hr
.
If all three work together, in how much time will they
construct
2
5
of the wall?
(i)
28
31
hr
(ii)
26
31
hr
(iii)
28
33
hr
(iv)
30
31
hr
(v)
28
29
hr
Question
13
13.
A certain number of men can do a work in
42
days
.
If there were
20
men
more
,
it would take
30
days
less
to complete the work.
How many men are required to complete the work in
14
days
?
(i)
25
(ii)
23
(iii)
21
(iv)
24
(v)
26
Question
14
14.
5
men and
2
women can do a piece of work in
16
days.
5
men and
3
women can do the same work in
12
days.
In how many days can
2
men and
2
women complete the same work?
(i)
18
days
(ii)
21
days
(iii)
23
days
(iv)
20
days
(v)
19
days
Question
15
15.
A can do a piece of work in
13
hr
and B in
10
hr
.
A does the work for
2
hr
before B join A to work together.
Again after
3
hr
C joins both A and B to complete the work in
287
291
hr
.
In how much time C alone can do the work?
(i)
6
hr
(ii)
10
hr
(iii)
8
hr
(iv)
7
hr
(v)
4
hr
Question
16
16.
4
men take
2
days
to complete a work.
How much work is done by one man in one day?
(i)
1
4
(ii)
1
2
(iii)
3
8
(iv)
1
8
(v)
(
-1
8
)
Question
17
17.
A and B can do a work in
4
11
20
days
,
B and C can do it in
3
1
2
days
and C and A can do it in
4
11
20
days
.
In how much time can
each of them do it seperately?
(i)
(
13
days
,
7
days
,
8
days
)
(ii)
(
14
days
,
8
days
,
7
days
)
(iii)
(
13
days
,
7
days
,
7
days
)
(iv)
(
14
days
,
7
days
,
7
days
)
(v)
(
13
days
,
8
days
,
7
days
)
Question
18
18.
A, B and C together can do a work in
1
13
47
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)
1
day
(ii)
5
days
(iii)
4
days
(iv)
3
days
(v)
6
days
Question
19
19.
A, B, C, D, and E can do a piece of work in
15
hr
,
7
hr
,
9
hr
,
5
hr
and
6
hr
respectively.
Who has the greatest capacity to do work?
(i)
E
(ii)
A
(iii)
D
(iv)
C
(v)
B
Question
20
20.
Pipe A can fill a tank in
5
hr
and pipe B can empty the full tank in
15
hr
.
If both the pipes are opened together,
in how much time will the tank become full?
(i)
7
1
4
hr
(ii)
7
1
2
hr
(iii)
8
hr
(iv)
8
1
2
hr
(v)
6
1
2
hr
Question
21
21.
A and B can do a work in
4
2
19
hr
,
B and C can do it in
4
20
21
hr
and C and A can do it in
3
3
7
hr
.
In how much time can
each of them do it seperately?
(i)
(
7
hr
,
13
hr
,
8
hr
)
(ii)
(
6
hr
,
13
hr
,
9
hr
)
(iii)
(
6
hr
,
14
hr
,
8
hr
)
(iv)
(
7
hr
,
14
hr
,
8
hr
)
(v)
(
6
hr
,
13
hr
,
8
hr
)
Question
22
22.
A can do a work in
5
days
and B can do the same work in
6
days
.
If they work together, in how much time is the work completed?
(i)
2
10
11
days
(ii)
2
8
9
days
(iii)
2
8
11
days
(iv)
2
8
13
days
(v)
2
6
11
days
Question
23
23.
A can do a piece of work in
14
hr
,
B can do the work in
10
hr
and C in
13
hr
respectively.
In how much time can they do it together?
(i)
4
3
113
hr
(ii)
4
5
113
hr
(iii)
4
3
115
hr
(iv)
4
1
113
hr
(v)
4
1
37
hr
Question
24
24.
17
men can do a work in
20
days working
8
hours a day.
In how many days can
8
men do the same work, working
4
hours a day?
(i)
82
days
(ii)
84
days
(iii)
85
days
(iv)
88
days
(v)
86
days
Question
25
25.
P and Q can do together a piece of work in
3
3
14
days
.
After they have worked together for
2
days
,
P stops.
Q completes the remaining work in
3
2
5
days
.
In how many days can Q alone do the work?
(i)
9
days
(ii)
7
days
(iii)
11
days
(iv)
10
days
(v)
8
days
Assignment Key
1) (i)
2) (iv)
3) (iv)
4) (i)
5) (ii)
6) (ii)
7) (v)
8) (ii)
9) (i)
10) (v)
11) (iv)
12) (i)
13) (iv)
14) (iv)
15) (iv)
16) (iv)
17) (iii)
18) (iii)
19) (iii)
20) (ii)
21) (v)
22) (iii)
23) (i)
24) (iii)
25) (i)