suppose that the rate of the second train is x mph
the rate of the first one will be (x+26) mph
the distance covered by the trains will be:
Distance=speed*time
first train will be:
(2 4/5)×(x+26)
=14/5(x+26)
=14/5x+364/5
Second train:
14/3(x)
=14/3x
Given that both trains covered the same distance, then
14/5x+364/5=14/3x
364/5=28/15x
x=39 mph
thus the distance between the town will be:
14/3(39)
=182 miles