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Length of the train is x
Speed is x/15 which should be equal to (100+x)/25
X = 150

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Bunuel
A train crosses a pole in 15 seconds while it crosses a 100 m long platform in 25 seconds. What is the length of the train ?

A. 110 m
B. 120 m
C. 130 m
D. 140 m
E. 150 m
Solution:

Let r = the speed of the train (in m/sec) and L = the length of the train (in meters), we can create the equations:

L/r = 15 for crossing the pole, and

(L + 100) / r = 25 for crossing the platform

Simplifying the second equation, we have:

L/r + 100/r = 25

Substituting L/r by 15 (from the first equation), we have:

15 + 100/r = 25

100/r = 10

r = 10

Substituting this back into the first equation, we have:

L/10 = 15

L = 150

Answer: E
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