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
8
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)
10
2
5
hr
(ii)
10
hr
(iii)
11
1
3
hr
(iv)
12
hr
(v)
10
2
3
hr
Question
2
2.
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
16
5
7
min
from the time when both pipes are opened.
For how much time was first pipe open?
(i)
5
min
(ii)
8
min
(iii)
6
min
(iv)
3
min
(v)
4
min
Question
3
3.
Due to a leak at the bottom, pipe Y takes
8
2
5
hr
to fill the tank.
The leak alone can empty the full tank in
42
hr
.
In what time can pipe Y alone fill the tank when the leak is closed?
(i)
8
hr
(ii)
7
hr
(iii)
6
hr
(iv)
4
hr
(v)
9
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
1
2
hr
(ii)
2
1
4
hr
(iii)
2
3
4
hr
(iv)
2
1
6
hr
(v)
1
3
4
hr
Question
5
5.
Two pipes can fill a tank in
5
min
and
20
min
respectively.
Both pipes are
opened together and after some time the first pipe is closed and the tank
becomes full in
16
min
from the time when both pipes are opened.
For how much time was first pipe open?
(i)
-2
min
(ii)
1
min
(iii)
3
min
(iv)
2
min
(v)
0
min
Question
6
6.
Due to a leak at the bottom, pipe Y takes
2
2
3
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)
-1
hr
(ii)
2
hr
(iii)
1
hr
(iv)
3
hr
(v)
4
hr
Question
7
7.
Pipe A can fill a tank in
7
hr
and pipe B can empty the full tank in
56
hr
.
If both the pipes are opened together,
in how much time will the tank become full?
(i)
9
hr
(ii)
8
hr
(iii)
7
hr
(iv)
5
hr
(v)
11
hr
Question
8
8.
Two pipes can fill a tank in
5
min
and
10
min
respectively.
Both pipes are
opened together and after some time the first pipe is closed and the tank
becomes full in
8
min
from the time when both pipes are opened.
For how much time was first pipe open?
(i)
0
min
(ii)
-1
min
(iii)
1
min
(iv)
3
min
(v)
2
min
Question
9
9.
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)
5
hr
(ii)
9
hr
(iii)
7
hr
(iv)
8
hr
(v)
11
hr
Question
10
10.
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
8
hr
(iii)
7
5
6
hr
(iv)
8
1
6
hr
(v)
8
1
2
hr
Assignment Key
1) (v)
2) (i)
3) (ii)
4) (ii)
5) (ii)
6) (ii)
7) (ii)
8) (iii)
9) (iv)
10) (iv)
