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UPSC 2014 CDS II Math Paper
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© examsnet.com
Question : 33
Total: 100
A man rides one-third of the distance from A to B at the rate of x km/hr and the remainder at the rate of 2y km/hr. If he had travelled at a uniform rate of 6z km/hr, he could have ridden from A to B and back again in the same time. Which one of the following is correct?
[2014 CDS-II]
z
=
x
+
y
3
z
=
x
+
y
1
z
=
1
x
+
1
y
1
2
z
=
1
x
+
1
y
Validate
Solution:
Time taken by the man in the first case
=
(
A
B
3
)
x
+
(
2
A
B
3
)
2
y
=
A
B
3
x
+
A
B
3
y
Time taken by the man in the second case
=
2
A
B
6
z
=
A
B
3
z
Time taken by the man in the firstcase = Time taken by the man in the second case (Given)
∴
A
B
3
x
+
A
B
3
y
=
A
B
3
z
⇒
1
x
+
1
y
=
1
z
© examsnet.com
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