Two trains move between two towns. it takes the first train 2 hr 48 min and it takes the second 4 hr 40 min. the rate of the first train is 26 mph more than that of the second train. what is the distance between these towns?

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