EduSahara™ Assignment
Name : Working Capacity Problems
Chapter : Direct and Inverse Proportions
Grade : SSC Grade VIII
License : Non Commercial Use
Question
1
1.
A can do a work in
4
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
4
5
days
(ii)
2
2
3
days
(iii)
2
2
7
days
(iv)
2
2
5
days
(v)
2
days
Question
2
2.
A can do a work in
6
days
.
With the help of B, A can do the same work in
2
8
11
days
.
In how many days can B alone do the work?
(i)
3
days
(ii)
5
days
(iii)
6
days
(iv)
7
days
(v)
4
days
Question
3
3.
A and B can do a work in
7
days
, B and C can do in
6
days
and C and A can do in
6
days
.
If all three work together,
in how many days will the work be completed?
(i)
4
1
3
days
(ii)
4
3
5
days
(iii)
4
1
7
days
(iv)
4
1
5
days
(v)
3
4
5
days
Question
4
4.
A and B can do a piece of work in
17
days
and
16
days
respectively.
They work together for
7
days
and then B leaves.
In how many days the whole work is completed?
(i)
9
9
14
days
(ii)
9
11
16
days
(iii)
9
9
16
days
(iv)
9
7
16
days
(v)
9
1
2
days
Question
5
5.
6
men take
7
days
to complete a work.
How much work is done by one man in one day?
(i)
1
42
(ii)
1
6
(iii)
1
14
(iv)
1
7
(v)
(
-1
42
)
Question
6
6.
13
men can do a work in
13
days working
9
hours a day.
In how many days can
11
men do the same work, working
6
hours a day?
(i)
22
21
22
days
(ii)
23
1
20
days
(iii)
23
1
24
days
(iv)
23
1
22
days
(v)
23
3
22
days
Question
7
7.
3
men and
5
women can do a piece of work in
6
days.
5
men and
2
women can do the same work in
6
days.
In how many days can
5
men and
3
women complete the same work?
(i)
5
3
5
days
(ii)
5
5
7
days
(iii)
5
1
7
days
(iv)
5
3
7
days
(v)
5
1
3
days
Question
8
8.
2
skilled men can do a work in
2
days
.
6
unskilled men can do the same work in
5
days
.
In how many days can
2
skilled and
6
unskilled men do the same work?
(i)
1
1
7
days
(ii)
1
1
3
days
(iii)
1
3
7
days
(iv)
1
5
7
days
(v)
1
3
5
days
Question
9
9.
A, B and C together can do a work in
6
7
days
.
If A and C can do the work in
3
days
and
2
days
respectively,
in how many days can B alone do the work?
(i)
6
days
(ii)
3
days
(iii)
4
days
(iv)
1
day
(v)
2
days
Question
10
10.
A certain number of men can do a work in
72
days
.
If there were
9
men
more
,
it would take
27
days
less
to complete the work.
How many men are required to complete the work in
40
days
?
(i)
27
(ii)
24
(iii)
29
(iv)
28
(v)
26
Question
11
11.
A and B can do a work in
2
days
and
4
days
respectively.
They together undertook to do a piece of work for
₹5400.00
.
What is the share of B?
(i)
₹1800.00
(ii)
₹3600.00
(iii)
₹3598.00
(iv)
₹1799.00
(v)
₹1801.00
Question
12
12.
A and B can do a work in
14
days
and
23
days
respectively.
If they work on alternate days and A begins the work,
in how many days can it be completed?
(i)
21
days
(ii)
17
days
(iii)
19
days
(iv)
18
days
(v)
16
days
Question
13
13.
Person P is
thrice
as good a workman as Person Q.
They can do a work together in
2
1
4
days
.
In how many days Q alone can do the work?
(i)
6
days
(ii)
9
days
(iii)
8
days
(iv)
11
days
(v)
10
days
Question
14
14.
P and Q can do together a piece of work in
4
4
17
days
.
After they have worked together for
3
days
,
P stops.
Q completes the remaining work in
2
1
3
days
.
In how many days can Q alone do the work?
(i)
5
days
(ii)
8
days
(iii)
10
days
(iv)
9
days
(v)
7
days
Question
15
15.
A can do a piece of work in
15
hr
and B in
9
hr
.
A does the work for
4
hr
before B join A to work together.
Again after
2
hr
C joins both A and B to complete the work in
1
3
31
hr
.
In how much time C alone can do the work?
(i)
4
hr
(ii)
9
hr
(iii)
7
hr
(iv)
5
hr
(v)
6
hr
Question
16
16.
A, B, C, D, and E can do a piece of work in
11
hr
,
10
hr
,
9
hr
,
15
hr
and
6
hr
respectively.
Who has the greatest capacity to do work?
(i)
E
(ii)
B
(iii)
C
(iv)
D
(v)
A
Question
17
17.
A, B, C, D, and E can do a piece of work in
10
days
,
13
days
,
12
days
,
8
days
and
7
days
respectively.
Who has the greatest capacity to do work?
(i)
B
(ii)
E
(iii)
A
(iv)
D
(v)
C
Question
18
18.
A and B can do a work in
5
5
23
hr
,
B and C can do it in
3
11
15
hr
and C and A can do it in
4
17
22
hr
.
In how much time can
each of them do it seperately?
(i)
(
16
hr
,
8
hr
,
7
hr
)
(ii)
(
15
hr
,
9
hr
,
7
hr
)
(iii)
(
15
hr
,
8
hr
,
8
hr
)
(iv)
(
16
hr
,
9
hr
,
7
hr
)
(v)
(
15
hr
,
8
hr
,
7
hr
)
Question
19
19.
A and B can do a work in
5
1
7
days
,
B and C can do it in
4
1
2
days
and C and A can do it in
5
1
7
days
.
In how much time can
each of them do it seperately?
(i)
(
12
days
,
9
days
,
9
days
)
(ii)
(
13
days
,
9
days
,
9
days
)
(iii)
(
13
days
,
10
days
,
9
days
)
(iv)
(
12
days
,
10
days
,
9
days
)
(v)
(
12
days
,
9
days
,
10
days
)
Question
20
20.
A can do a piece of work in
5
hr
,
B can do the work in
8
hr
and C in
5
hr
respectively.
In how much time can they do it together?
(i)
2
hr
(ii)
1
17
21
hr
(iii)
1
19
21
hr
(iv)
1
19
23
hr
Question
21
21.
A can do a piece of work in
15
days
,
B can do the work in
8
days
and C in
8
days
respectively.
In how much time can they do it together?
(i)
3
3
17
days
(ii)
3
1
19
days
(iii)
3
5
19
days
(iv)
3
3
19
days
(v)
3
1
7
days
Question
22
22.
A and B together can do a piece of work in
7
1
2
hr
.
They work together for
3
hr
and then A leaves.
B completes the remaining work in
9
hr
.
In how much time can each of them do the work seperately?
(i)
(
14
hr
,
15
hr
)
(ii)
(
15
hr
,
16
hr
)
(iii)
(
15
hr
,
15
hr
)
(iv)
(
15
hr
,
14
hr
)
(v)
(
16
hr
,
15
hr
)
Question
23
23.
A and B together can do a piece of work in
5
17
23
days
.
They work together for
2
days
and then A leaves.
B completes the remaining work in
7
1
6
days
.
In how much time can each of them do the work seperately?
(i)
(
12
days
,
12
days
)
(ii)
(
11
days
,
11
days
)
(iii)
(
13
days
,
11
days
)
(iv)
(
12
days
,
11
days
)
(v)
(
12
days
,
10
days
)
Question
24
24.
A can do
7
12
of a work in
8
3
4
hr
.
He works for
2
hr
when B joins him.
They work together and complete the work in
6
8
29
hr
.
In how much time, B alone can do the work?
(i)
14
hr
(ii)
12
hr
(iii)
15
hr
(iv)
17
hr
(v)
13
hr
Question
25
25.
A can do
1
9
of a work in
1
2
3
days
.
He works for
5
days
when B joins him.
They work together and complete the work in
3
2
11
days
.
In how much time, B alone can do the work?
(i)
7
days
(ii)
9
days
(iii)
5
days
(iv)
6
days
(v)
8
days
Question
26
26.
A can construct
5
8
of a wall in
3
3
4
hr
.
B can construct
4
5
of the wall in
6
2
5
hr
.
C can construct
2
6
of the wall in
1
2
3
hr
.
If all three work together, in how much time will they
construct
7
9
of the wall?
(i)
1
35
59
hr
(ii)
1
101
177
hr
(iii)
1
103
177
hr
(iv)
1
103
175
hr
(v)
1
103
179
hr
Question
27
27.
A can construct
2
5
of a wall in
2
2
5
days
.
B can construct
5
6
of the wall in
5
5
6
days
.
C can construct
7
9
of the wall in
6
2
9
days
.
If all three work together, in how much time will they
construct
4
9
of the wall?
(i)
1
5
221
days
(ii)
1
7
219
days
(iii)
1
5
219
days
(iv)
1
5
217
days
(v)
1
1
73
days
Question
28
28.
A, B and C can together do a piece of work in
2
6
7
hr
.
B and C can do it in
4
4
9
hr
.
C alone can do it in
10
hr
.
In how much time A and C can do the work together?
(i)
4
2
3
hr
(ii)
4
2
9
hr
(iii)
4
4
9
hr
(iv)
4
4
11
hr
(v)
4
4
7
hr
Question
29
29.
A, B and C can together do a piece of work in
2
1
7
days
.
B and C can do it in
3
3
4
days
.
C alone can do it in
6
days
.
In how much time A and C can do the work together?
(i)
2
8
9
days
(ii)
2
8
13
days
(iii)
2
10
11
days
(iv)
2
6
11
days
(v)
2
8
11
days
Question
30
30.
A sum of
₹444.00
will be given to do a work.
A and B can do it in
4
14
19
hr
.
B and C can do in
3
1
3
hr
.
C and A can do in
3
3
14
hr
.
How much A, B and C respectively will get if all three work together?
(i)
(
₹108
,
₹216
,
₹120
)
(ii)
(
₹120
,
₹108
,
₹216
)
(iii)
(
₹216
,
₹108
,
₹120
)
(iv)
(
₹120
,
₹216
,
₹108
)
(v)
(
₹216
,
₹120
,
₹108
)
Question
31
31.
A sum of
₹99.00
will be given to do a work.
A and B can do it in
3
3
4
days
.
B and C can do in
3
1
3
days
.
C and A can do in
6
days
.
How much A, B and C respectively will get if all three work together?
(i)
(
₹18
,
₹54
,
₹27
)
(ii)
(
₹27
,
₹54
,
₹18
)
(iii)
(
₹18
,
₹27
,
₹54
)
(iv)
(
₹54
,
₹27
,
₹18
)
(v)
(
₹27
,
₹18
,
₹54
)
Assignment Key
1) (iv)
2) (ii)
3) (iv)
4) (iii)
5) (i)
6) (iv)
7) (iv)
8) (iii)
9) (ii)
10) (i)
11) (i)
12) (iv)
13) (ii)
14) (ii)
15) (v)
16) (i)
17) (ii)
18) (v)
19) (i)
20) (iii)
21) (iv)
22) (iii)
23) (iv)
24) (i)
25) (i)
26) (iii)
27) (iii)
28) (iii)
29) (v)
30) (ii)
31) (i)
