EduSahara™ Assignment
Name : Pipe Problems
Chapter : Direct and Inverse Proportions
Grade : SSC Grade VIII
License : Non Commercial Use
Question
1
1.
Pipe A can fill a tank in
6
hr
and pipe B can empty the full tank in
36
hr
.
If both the pipes are opened together,
in how much time will the tank become full?
(i)
7
1
3
hr
(ii)
7
1
5
hr
(iii)
7
3
5
hr
(iv)
7
1
7
hr
(v)
6
4
5
hr
Question
2
2.
Two pipes can fill a tank in
10
min
and
16
min
respectively.
Both pipes are
opened together and after some time the first pipe is closed and the tank
becomes full in
9
3
5
min
from the time when both pipes are opened.
For how much time was first pipe open?
(i)
3
min
(ii)
5
min
(iii)
6
min
(iv)
4
min
(v)
1
min
Question
3
3.
Due to a leak at the bottom, pipe Y takes
10
2
3
hr
to fill the tank.
The leak alone can empty the full tank in
32
hr
.
In what time can pipe Y alone fill the tank when the leak is closed?
(i)
7
hr
(ii)
6
hr
(iii)
8
hr
(iv)
9
hr
(v)
10
hr
Question
4
4.
Pipe A can fill a tank in
2
hr
and pipe B can empty the full tank in
18
hr
.
If both the pipes are opened together,
in how much time will the tank become full?
(i)
2
3
4
hr
(ii)
2
1
4
hr
(iii)
1
3
4
hr
(iv)
2
1
6
hr
(v)
2
1
2
hr
Question
5
5.
Two pipes can fill a tank in
13
min
and
28
min
respectively.
Both pipes are
opened together and after some time the first pipe is closed and the tank
becomes full in
23
9
13
min
from the time when both pipes are opened.
For how much time was first pipe open?
(i)
3
min
(ii)
5
min
(iii)
1
min
(iv)
2
min
(v)
0
min
Question
6
6.
Due to a leak at the bottom, pipe Y takes
8
3
4
hr
to fill the tank.
The leak alone can empty the full tank in
35
hr
.
In what time can pipe Y alone fill the tank when the leak is closed?
(i)
6
hr
(ii)
10
hr
(iii)
4
hr
(iv)
8
hr
(v)
7
hr
Question
7
7.
Pipe A can fill a tank in
4
hr
and pipe B can empty the full tank in
32
hr
.
If both the pipes are opened together,
in how much time will the tank become full?
(i)
4
4
7
hr
(ii)
4
6
7
hr
(iii)
4
4
9
hr
(iv)
4
2
7
hr
(v)
4
4
5
hr
Question
8
8.
Two pipes can fill a tank in
14
min
and
19
min
respectively.
Both pipes are
opened together and after some time the first pipe is closed and the tank
becomes full in
13
4
7
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)
6
min
(v)
4
min
Question
9
9.
Due to a leak at the bottom, pipe Y takes
6
1
4
hr
to fill the tank.
The leak alone can empty the full tank in
25
hr
.
In what time can pipe Y alone fill the tank when the leak is closed?
(i)
3
hr
(ii)
6
hr
(iii)
5
hr
(iv)
8
hr
(v)
4
hr
Question
10
10.
Pipe A can fill a tank in
9
hr
and pipe B can empty the full tank in
27
hr
.
If both the pipes are opened together,
in how much time will the tank become full?
(i)
14
hr
(ii)
13
1
4
hr
(iii)
14
1
2
hr
(iv)
12
1
2
hr
(v)
13
1
2
hr
Assignment Key
1) (ii)
2) (iv)
3) (iii)
4) (ii)
5) (iv)
6) (v)
7) (i)
8) (v)
9) (iii)
10) (v)