Question

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?

Answer 1

182 miles

Explanation:

Answer 2

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