Q. 34.2( 10 Votes )

A fast train take

Answer :

Speed = distance/time


Let the speed of the faster train be ‘a’ km/hr.


Speed of the slow train = a – 10 km/hr


Also, fast train takes one hour less than a slow train for a journey of 200 km.



200a + 2000 – 200a = a2 – 10a


a2 – 10a – 2000 = 0


a2 – 50a + 40a – 2000 = 0


a(a – 50) + 40(a – 50) = 0


(a + 40)(a – 50) = 0


a = 50 km/hr


Speed of the trains is 50 km/hr, 40 km/hr


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