A) 125 m
B) 130 m
C) 150 m
D) 175 m
Correct Answer: C
Solution :
Let the lenght of the train = x m When the train crosses a pole, the speed of train \[=\frac{x}{15}\] ? (i) Mien the train crosses a platform, then speed of train \[\text{=}\frac{\text{Length of(platform+train)}}{\text{Time take}}\] \[=\frac{100+x}{25}\] ? (ii) From Eqs. (i) and (ii), \[\frac{x}{15}=\frac{100+x}{5}\] \[\Rightarrow \] \[\frac{x}{3}=\frac{100+x}{5}\] \[\Rightarrow \] \[5x=300+3x\] \[\Rightarrow \] \[2x=300\] \[\Rightarrow \] \[x=\frac{300}{2}=150\,m\]
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