# 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

**Answer: Option A **

__Solution(By Examveda Team)__

$$\eqalign{
& {\text{Let the trains meet after t hours}} \cr
& {\text{Speed of train A}} \cr
& {\text{ = 75 km/hr}} \cr
& {\text{Speed of train B}} \cr
& {\text{ = 50 km/hr}} \cr
& {\text{Distance covered by train A}} \cr
& {\text{ = 75}} \times {\text{t = 75t}} \cr
& {\text{Distance covered by train B}} \cr
& {\text{ = 50}} \times {\text{t = 50t}} \cr
& {\text{Distance}}\,{\text{ = Speed }} \times {\text{Time}} \cr
& {\text{According to question}} \cr
& 75{\text{t}} - 50{\text{t}} = 175 \cr
& \Rightarrow 25{\text{t}} = 175 \cr
& \Rightarrow {\text{t}} = \frac{{175}}{{25}} = 7\,{\text{hour}} \cr
& \therefore {\text{Distance between A and B }} \cr
& {\text{ = 75t}} + 50{\text{t}} = 125{\text{t}} \cr
& = 125 \times 7 = 875\,{\text{km}} \cr} $$ Related Questions on Problems on Trains

A. 120 metres

B. 180 metres

C. 324 metres

D. 150 metres

A. 45 km/hr

B. 50 km/hr

C. 54 km/hr

D. 55 km/hr

A. 200 m

B. 225 m

C. 245 m

D. 250 m

## Join The Discussion