# Two trains, A ans B start from stations X and Y towards each other, they take 4 hours 48 minutes and 3 hours 20 minutes to reach Y and X respectively after they meet. If train A is moving at 45 km/hr, then the speed of the train B is?

A. 60 km/hr

B. 64.80 km/hr

C. 54 km/hr

D. 37.5 km/hr

**Answer: Option C **

__Solution(By Examveda Team)__

$$\eqalign{
& {\text{In these type of questions use the given}} \cr
& {\text{below formula to save your valuable time}} \cr
& \frac{{{{\text{S}}_1}}}{{{{\text{S}}_2}}}{\text{ = }}\sqrt {\frac{{{{\text{T}}_2}}}{{{{\text{T}}_1}}}} {\text{ }} \cr
& {\text{Where }}{{\text{S}}_1}{\text{,}}{{\text{S}}_2}{\text{ and }}{{\text{T}}_1}{\text{, }}{{\text{T}}_2}{\text{ are the respective}} \cr
& {\text{speeds and times of the objects}} \cr
& \Rightarrow \frac{{45}}{{{{\text{S}}_2}}} = \sqrt {3\frac{1}{3} \div 4\frac{4}{5}} \cr
& {\text{ = }}{{\text{S}}_2}{\text{ = 45}} \times \frac{6}{5}{\text{ = 54 km/hr}} \cr
& \therefore {\text{Required speed = 54 km/hr}} \cr} $$
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