EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Time and Work
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
A and B together can do a piece of work in
3
3
5
days
.
They work together for
1
day
and then A leaves.
B completes the remaining work in
4
1
3
days
.
In how much time can each of them do the work seperately?
(i)
(
10
days
,
6
days
)
(ii)
(
9
days
,
6
days
)
(iii)
(
9
days
,
7
days
)
(iv)
(
8
days
,
6
days
)
(v)
(
9
days
,
5
days
)
Question
2
2.
A, B, C, D, and E can do a piece of work in
8
days
,
11
days
,
5
days
,
7
days
and
12
days
respectively.
Who has the greatest capacity to do work?
(i)
C
(ii)
A
(iii)
E
(iv)
B
(v)
D
Question
3
3.
A, B and C can together do a piece of work in
2
118
121
days
.
B and C can do it in
4
4
17
days
.
C alone can do it in
9
days
.
In how much time A and C can do the work together?
(i)
4
14
17
days
(ii)
4
2
3
days
(iii)
4
12
19
days
(iv)
4
14
19
days
(v)
4
16
19
days
Question
4
4.
A can do a piece of work in
15
days
,
B can do the work in
6
days
and C in
5
days
respectively.
In how much time can they do it together?
(i)
2
2
13
days
(ii)
2
4
13
days
(iii)
2
4
11
days
(iv)
2
6
13
days
(v)
2
4
15
days
Question
5
5.
A and B can do a work in
3
days
and
9
days
respectively.
They together undertook to do a piece of work for
₹8400.00
.
What is the share of B?
(i)
₹6300.00
(ii)
₹2099.00
(iii)
₹6298.00
(iv)
₹2101.00
(v)
₹2100.00
Question
6
6.
A can do
6
8
of a work in
8
1
4
days
.
He works for
4
days
when B joins him.
They work together and complete the work in
2
18
19
days
.
In how much time, B alone can do the work?
(i)
8
days
(ii)
10
days
(iii)
6
days
(iv)
7
days
(v)
9
days
Question
7
7.
15
men and
8
women can do a piece of work in
5
days.
4
men and
15
women can do the same work in
5
days.
In how many days can
5
men and
5
women complete the same work?
(i)
10
13
16
days
(ii)
10
11
18
days
(iii)
10
5
6
days
(iv)
10
13
18
days
(v)
10
13
20
days
Question
8
8.
A can do a piece of work in
13
hr
and B in
13
hr
.
A does the work for
3
hr
before B join A to work together.
Again after
3
hr
C joins both A and B to complete the work in
1
3
29
hr
.
In how much time C alone can do the work?
(i)
6
hr
(ii)
8
hr
(iii)
7
hr
(iv)
9
hr
(v)
11
hr
Question
9
9.
3
men take
5
days
to complete a work.
How much work is done by one man in one day?
(i)
1
15
(ii)
1
3
(iii)
1
5
(iv)
(
-1
15
)
Question
10
10.
P and Q can do together a piece of work in
3
11
15
days
.
After they have worked together for
2
days
,
P stops.
Q completes the remaining work in
3
5
7
days
.
In how many days can Q alone do the work?
(i)
6
days
(ii)
7
days
(iii)
9
days
(iv)
8
days
(v)
11
days
Question
11
11.
A sum of
₹1256.00
will be given to do a work.
A and B can do it in
4
4
9
days
.
B and C can do in
4
20
21
days
.
C and A can do in
5
15
23
days
.
How much A, B and C respectively will get if all three work together?
(i)
(
₹520
,
₹320
,
₹416
)
(ii)
(
₹416
,
₹520
,
₹320
)
(iii)
(
₹416
,
₹320
,
₹520
)
(iv)
(
₹320
,
₹416
,
₹520
)
(v)
(
₹320
,
₹520
,
₹416
)
Question
12
12.
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?
(i)
2
hr
(ii)
1
hr
(iii)
6
hr
(iv)
4
hr
(v)
3
hr
Question
13
13.
A sum of
₹2583.00
will be given to do a work.
A and B can do it in
3
15
17
hr
.
B and C can do in
4
2
19
hr
.
C and A can do in
5
23
24
hr
.
How much A, B and C respectively will get if all three work together?
(i)
(
₹702
,
₹594
,
₹1287
)
(ii)
(
₹702
,
₹1287
,
₹594
)
(iii)
(
₹1287
,
₹594
,
₹702
)
(iv)
(
₹594
,
₹702
,
₹1287
)
(v)
(
₹594
,
₹1287
,
₹702
)
Question
14
14.
A and B can do a work in
3
11
15
hr
,
B and C can do it in
4
4
17
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)
(
8
hr
,
8
hr
,
9
hr
)
(ii)
(
7
hr
,
9
hr
,
9
hr
)
(iii)
(
7
hr
,
8
hr
,
9
hr
)
(iv)
(
7
hr
,
8
hr
,
10
hr
)
(v)
(
8
hr
,
9
hr
,
9
hr
)
Question
15
15.
A certain number of men can do a work in
36
days
.
If there were
42
men
more
,
it would take
28
days
less
to complete the work.
How many men are required to complete the work in
18
days
?
(i)
21
(ii)
23
(iii)
27
(iv)
24
(v)
25
Question
16
16.
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
22
8
15
min
from the time when both pipes are opened.
For how much time was first pipe open?
(i)
5
min
(ii)
3
min
(iii)
1
min
(iv)
-1
min
(v)
2
min
Question
17
17.
A, B and C can together do a piece of work in
2
2
59
hr
.
B and C can do it in
3
3
7
hr
.
C alone can do it in
6
hr
.
In how much time A and C can do the work together?
(i)
2
10
11
hr
(ii)
2
8
11
hr
(iii)
2
8
9
hr
(iv)
2
6
11
hr
(v)
2
8
13
hr
Question
18
18.
A and B can do a piece of work in
12
days
and
18
days
respectively.
They work together for
1
day
and then B leaves.
In how many days the whole work is completed?
(i)
12
days
(ii)
10
2
3
days
(iii)
11
1
5
days
(iv)
11
1
3
days
Question
19
19.
A and B together can do a piece of work in
3
3
4
hr
.
They work together for
1
hr
and then A leaves.
B completes the remaining work in
3
2
3
hr
.
In how much time can each of them do the work seperately?
(i)
(
15
hr
,
4
hr
)
(ii)
(
14
hr
,
5
hr
)
(iii)
(
15
hr
,
5
hr
)
(iv)
(
16
hr
,
5
hr
)
(v)
(
15
hr
,
6
hr
)
Question
20
20.
A, B, C, D, and E can do a piece of work in
10
hr
,
5
hr
,
12
hr
,
8
hr
and
9
hr
respectively.
Who has the greatest capacity to do work?
(i)
D
(ii)
A
(iii)
E
(iv)
B
(v)
C
Question
21
21.
A can do a piece of work in
13
hr
,
B can do the work in
10
hr
and C in
11
hr
respectively.
In how much time can they do it together?
(i)
3
281
383
hr
(ii)
3
281
385
hr
(iii)
3
279
383
hr
(iv)
3
283
383
hr
(v)
3
281
381
hr
Question
22
22.
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)
45
days
(ii)
49
days
(iii)
48
days
(iv)
51
days
(v)
47
days
Question
23
23.
A and B can do a work in
6
days
, B and C can do in
5
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)
4
8
41
days
(ii)
4
8
45
days
(iii)
4
10
43
days
(iv)
4
6
43
days
(v)
4
8
43
days
Question
24
24.
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)
-1
days
(ii)
2
days
(iii)
3
days
(iv)
4
days
(v)
1
day
Question
25
25.
8
skilled men can do a work in
5
days
.
9
unskilled men can do the same work in
6
days
.
In how many days can
7
skilled and
3
unskilled men do the same work?
(i)
4
28
85
days
(ii)
4
30
83
days
(iii)
4
28
81
days
(iv)
4
26
83
days
(v)
4
28
83
days
Assignment Key
1) (ii)
2) (i)
3) (iv)
4) (ii)
5) (v)
6) (i)
7) (iv)
8) (ii)
9) (i)
10) (iv)
11) (ii)
12) (v)
13) (ii)
14) (iii)
15) (iv)
16) (v)
17) (ii)
18) (iv)
19) (iii)
20) (iv)
21) (i)
22) (iii)
23) (v)
24) (ii)
25) (v)
