Quantitative Aptitude Ques 2372

Question: Train A, whose length is 328 m, can cross a 354 m long platform in 11s. Train B can cross the same platform in 12 s. If the speed of train B is 7/8th of the speed of train A, then what is the length of train B? [SBI Associate (Clerk) 2015]

Options:

A) 321 m

B) 303 m

C) 297 m

D) 273 m

E) 309 m

Show Answer

Answer:

Correct Answer: C

Solution:

  • Speed of train $ A=\frac{328+354}{11}=\frac{682}{11}=62,m/s $

$ \therefore $ Speed of train $ B=\frac{7}{8}\times 62=\frac{7\times 31}{4}=\frac{217}{4}m/s $ Let the length of train B be l, then $ (l+354)=\frac{217}{4}\times 12 $

$ \Rightarrow $ $ l+354=651 $

$ \Rightarrow $ $ l=297,m $

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