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Question

The distance between two stations is 340km. Two trains start simaltaneously from these stations on parallel trcks and cross each other. The speed of one of them is greater than that of the other by 5km/hr. if the distance between two trains after 2 hrs of their start is 30 km  find the speed of each train.


Solution

Let the speed of one train be $$x\ km/hr$$. 
The speed of the other train is $$(x+5)\ km/hr$$
Distance covered by the trains in $$2$$ hrs are $$2x$$ and $$2(x+5)$$ respectively. 
After crossing each other the distance between the trains is $$30km.$$ Therefore the total distance covered $$=340+30=370\ km$$
 $$2x+2(x+5)= 370$$
$$2x+2x+10=370$$
$$4x+10=370$$
$$4x=370-10$$
$$4x=360$$
$$x=90$$
$$x=90\ km/hr$$
The speeds of the trains are $$90\ km/hr$$ and $$90+5=95\ km/hr$$.

Mathematics

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