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. The distance between two stations A and B is250 km. Two trains start simultaneously fromA and B in opposite directions. The distancebetween them after 2 hours is 25 km. If thespeed of one train is 10other. Find the speed of each of the trains.2km/hr. more than the

Answer»

Ans: The distance between two stations a and b is 250km.Two trains start simultaneously from a and b in opposite directions.The distance between them after 5/2 hours is 25kmIf the speed of one train is 10km/hr more than the other.Required: The speed of each of the trainsLet the speed of train from station A be xThen the speed of other train from station B = x+10Distance covered = speed *timeAfter 5/2 hrs the distance covered by trains will be x*5/2 and (x+10)*5/2 respectivelytherefore, x*5/2 + (x+10)*5/2 =250- 255x/2+ 5x/2 +25 =2255x= 225-25 =2005x=200x= 200/5 =40 Km/hSpeed of second train originating from station B = 40 +10 = 50 Km /hThus, the speed of the trains are 40Km/h and 50Km/h respectively.



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