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
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
1
2
hr
(ii)
14
hr
(iii)
13
1
4
hr
(iv)
13
1
2
hr
(v)
12
1
2
hr
Question
2
2.
Two pipes can fill a tank in
11
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
8
8
11
min
from the time when both pipes are opened.
For how much time was first pipe open?
(i)
4
min
(ii)
6
min
(iii)
2
min
(iv)
7
min
(v)
5
min
Question
3
3.
Due to a leak at the bottom, pipe Y takes
6
3
4
hr
to fill the tank.
The leak alone can empty the full tank in
54
hr
.
In what time can pipe Y alone fill the tank when the leak is closed?
(i)
5
hr
(ii)
3
hr
(iii)
7
hr
(iv)
8
hr
(v)
6
hr
Question
4
4.
Pipe A can fill a tank in
3
hr
and pipe B can empty the full tank in
9
hr
.
If both the pipes are opened together,
in how much time will the tank become full?
(i)
4
1
2
hr
(ii)
4
1
4
hr
(iii)
3
1
2
hr
(iv)
5
1
2
hr
(v)
5
hr
Question
5
5.
Two pipes can fill a tank in
12
min
and
17
min
respectively.
Both pipes are
opened together and after some time the first pipe is closed and the tank
becomes full in
14
1
6
min
from the time when both pipes are opened.
For how much time was first pipe open?
(i)
3
min
(ii)
2
min
(iii)
1
min
(iv)
0
min
(v)
5
min
Question
6
6.
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)
5
hr
(ii)
4
hr
(iii)
8
hr
(iv)
6
hr
(v)
2
hr
Question
7
7.
Pipe A can fill a tank in
6
hr
and pipe B can empty the full tank in
54
hr
.
If both the pipes are opened together,
in how much time will the tank become full?
(i)
6
1
4
hr
(ii)
7
1
2
hr
(iii)
6
1
2
hr
(iv)
6
3
4
hr
(v)
7
1
4
hr
Question
8
8.
Two pipes can fill a tank in
10
min
and
25
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?
(i)
7
min
(ii)
2
min
(iii)
3
min
(iv)
4
min
(v)
5
min
Question
9
9.
Due to a leak at the bottom, pipe Y takes
8
hr
to fill the tank.
The leak alone can empty the full tank in
8
hr
.
In what time can pipe Y alone fill the tank when the leak is closed?
(i)
5
hr
(ii)
4
hr
(iii)
2
hr
(iv)
3
hr
(v)
7
hr
Question
10
10.
Pipe A can fill a tank in
5
hr
and pipe B can empty the full tank in
20
hr
.
If both the pipes are opened together,
in how much time will the tank become full?
(i)
6
2
5
hr
(ii)
7
1
3
hr
(iii)
6
2
3
hr
(iv)
8
hr
(v)
6
hr
Assignment Key
1) (iv)
2) (v)
3) (v)
4) (i)
5) (ii)
6) (i)
7) (iv)
8) (iv)
9) (ii)
10) (iii)
