| 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] |
A) 321 m
B) 303 m
C) 297 m
D) 273 m
E) 309 m
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 |
| \[(l+354)=\frac{217}{4}\times 12\] |
| \[\Rightarrow \] \[l+354=651\] |
| \[\Rightarrow \] \[l=297\,m\] |
You need to login to perform this action.
You will be redirected in
3 sec
