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Problems on Trains
A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
50 m
150 m
200 m
Data inadequate
Correct Answer:
150 m
Explanation:
Let the length of the train be
x
metres and its speed by
y
m/sec.
Then,
x
= 15 ⟹
y
=
x
.
y
15
∴
x
+ 100
=
x
25
15
⟹ 15(
x
+ 100) = 25
x
⟹ 15
x
+ 1500 = 25
x
⟹ 1500 = 10
x
⟹
x
= 150 m.
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