the distance between two railway stations A and B is 455 kilometres. Two trains facing each other are started from these stations simultaneously on two parallel tracks is 5km per hour more than the other. if 3 hour after start the distance between two train is 20km.find the speed of each train
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Let velocity of train A be v km/hr
and the velocity of train B = (v+5) km/hr
Let the distance covered by train A and B after 3hrs be Sa and Sb respectively,
Sa+Sb=(455-20)=435km
Sa=v/3 km/hr
Sb=(v+5)/3 km/hr
v/3+(v+5)/3=435
=>4v+5=435×3
=>4v=1300
=>v=325Km/hr
Therefore velocity of train A (v)=325km/hr
and the velocity of train B(v+5)=325+5=330km/hr
and the velocity of train B = (v+5) km/hr
Let the distance covered by train A and B after 3hrs be Sa and Sb respectively,
Sa+Sb=(455-20)=435km
Sa=v/3 km/hr
Sb=(v+5)/3 km/hr
v/3+(v+5)/3=435
=>4v+5=435×3
=>4v=1300
=>v=325Km/hr
Therefore velocity of train A (v)=325km/hr
and the velocity of train B(v+5)=325+5=330km/hr
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