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
7
hr
and pipe B can empty the full tank in
63
hr
.
If both the pipes are opened together,
in how much time will the tank become full?
(i)
7
7
10
hr
(ii)
8
1
6
hr
(iii)
8
1
8
hr
(iv)
7
7
8
hr
(v)
7
5
8
hr
Question
2
2.
Two pipes can fill a tank in
9
min
and
21
min
respectively.
Both pipes are
opened together and after some time the first pipe is closed and the tank
becomes full in
11
2
3
min
from the time when both pipes are opened.
For how much time was first pipe open?
(i)
5
min
(ii)
3
min
(iii)
6
min
(iv)
2
min
(v)
4
min
Question
3
3.
Due to a leak at the bottom, pipe Y takes
9
3
5
hr
to fill the tank.
The leak alone can empty the full tank in
48
hr
.
In what time can pipe Y alone fill the tank when the leak is closed?
(i)
7
hr
(ii)
5
hr
(iii)
10
hr
(iv)
8
hr
(v)
9
hr
Question
4
4.
Pipe A can fill a tank in
7
hr
and pipe B can empty the full tank in
49
hr
.
If both the pipes are opened together,
in how much time will the tank become full?
(i)
8
1
4
hr
(ii)
8
1
6
hr
(iii)
8
1
2
hr
(iv)
8
1
8
hr
(v)
7
5
6
hr
Question
5
5.
Two pipes can fill a tank in
7
min
and
18
min
respectively.
Both pipes are
opened together and after some time the first pipe is closed and the tank
becomes full in
15
3
7
min
from the time when both pipes are opened.
For how much time was first pipe open?
(i)
3
min
(ii)
1
min
(iii)
0
min
(iv)
2
min
(v)
-2
min
Question
6
6.
Due to a leak at the bottom, pipe Y takes
4
hr
to fill the tank.
The leak alone can empty the full tank in
4
hr
.
In what time can pipe Y alone fill the tank when the leak is closed?
(i)
4
hr
(ii)
3
hr
(iii)
1
hr
(iv)
-1
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
24
hr
.
If both the pipes are opened together,
in how much time will the tank become full?
(i)
7
hr
(ii)
9
hr
(iii)
8
hr
(iv)
6
hr
(v)
11
hr
Question
8
8.
Two pipes can fill a tank in
14
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
11
1
7
min
from the time when both pipes are opened.
For how much time was first pipe open?
(i)
8
min
(ii)
9
min
(iii)
7
min
(iv)
5
min
(v)
11
min
Question
9
9.
Due to a leak at the bottom, pipe Y takes
4
1
2
hr
to fill the tank.
The leak alone can empty the full tank in
9
hr
.
In what time can pipe Y alone fill the tank when the leak is closed?
(i)
4
hr
(ii)
3
hr
(iii)
1
hr
(iv)
2
hr
(v)
5
hr
Question
10
10.
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)
5
1
2
hr
(ii)
3
1
2
hr
(iii)
4
1
2
hr
(iv)
4
1
4
hr
(v)
5
hr
Assignment Key
1) (iv)
2) (v)
3) (iv)
4) (ii)
5) (ii)
6) (v)
7) (iii)
8) (i)
9) (ii)
10) (iii)
