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 $
BETA
