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1. Two trains start at the same time from A and B and proceed toward each other at the sped of 75 km/hr and 50 km/hr respectively. When both meet at a point in between, one train was found to have traveled 175 km more then the other. Find the distance between A and B?

A. 875 km

B. 785 km

C. 758 km

D. 857 km

Solution:

\begin{aligned} Let the trains meet after t hours \\ Speed of train A \\ =  75 km/hr \\ Speed of train B \\ =  50 km/hr \\ Distance covered by train A \\ =  75 \times t  =  75t \\ Distance covered by train B \\ =  50 \times t  =  50t \\ Distance =  Speed \times Time \\ According to question \\ 75 t - 50 t = 175 \\ \Rightarrow 25 t = 175 \\ \Rightarrow t = \frac{175}{25} = 7 hour \\ ∴ Distance between A and B \\ =  75t + 50 t = 125 t \\ = 125 \times 7 = 875 km \end{aligned}

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