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UPSC 2016 CDS II Math Paper
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© examsnet.com
Question : 37
Total: 100
A tank can be filled by pipe
X
in
2
h
and pipe
Y
in
6
h
. At 10 am, pipe
X
was opened. At what time will the tank be filled if pipe
Y
is opened at
11
a
m
?
[2016 CDS-II]
12:45 hours
5:00 p.m.
11:45 a.m.
11:50 a.m.
Validate
Solution:
Let the volume of the tank be V.Volume of tank filled by pipe X in 1 hour
=
V
2
Volume of the tank filled by pipe Y in 1 hour
=
V
6
Suppose the tank gets filled t hours after 11 a.m
∴
V
2
×
t
+
V
6
×
t
=
V
−
V
2
=
V
2
⇒
t
2
+
t
6
=
1
2
⇒
4
t
6
=
1
2
⇒
t
=
3
4
hours = 45 minutes
Thus, the tank will be filled at 11:45 a.m.
© examsnet.com
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