<PRE><B>Question 517790</B>
Train A
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Speed = 80 mph
Distance = x
Time=t
Time = Distance / speed
Time = x/80

Train B
=========
Speed = 60mph
Distance = 224-x
Time = t
Time = Distance / speed
Time = 224-x/60


Both train will travel for the same period of time so

Time taken train A = Time taken train B
(224-x)/60=x/80
80(224-x)=60x
17920-80x=60x
17920=60x+80x
17920=140x
x=17920/140
x=128

Time taken by train A = x/80=128/80=1.6 hour
Time taken by train B = 224-128/80=96/60=1.6 hour

It will take 1.6 hour when they meet.



2nd Method
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Effective Speed = 80+60=140 mph
Distance = 224 miles

Time = Distance/Speed
Time = 224/140
Time = 1.6 hour </PRE>