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UPSC 2014 CDS II Math Paper
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© examsnet.com
Question : 2
Total: 100
A train takes 10 seconds to cross a pole and 20 seconds to cross a platform of length 200 m. What is the length of the train?
[2014 CDS-II]
50 m
100 m
150 m
200 m
Validate
Solution:
Let the length of the train be L m and speed of the train be v m/s.
Time taken by the train to cross the pole = 10 s
∴
v
=
L
10
....(1)
(
Speed
=
Distance
Time
)
Time taken by the train to cross a 200 m long platform = 20 s
∴
v
=
L
+
200
20
........(2)
From (1) and (2), we have
L
10
=
L
+
200
20
⇒
2
L
=
L
+
200
⇒
L
=
200
m
© examsnet.com
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