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1. 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

Solution:

\begin{aligned} In these type of questions use the given \\ below formula to save your valuable time \\ \frac{S_{1}}{S_{2}} = \sqrt{\frac{T_{2}}{T_{1}}} \\ Where S_{1}, S_{2} and T_{1}, T_{2} are the respective \\ speeds and times of the objects \\ \Rightarrow \frac{45}{S_{2}} = \sqrt{3 \frac{1}{3} \div 4 \frac{4}{5}} \\ = S_{2} =  45 \times \frac{6}{5} =  54 km/hr \\ ∴ Required speed  =  54 km/hr \end{aligned}

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