SOLUTION: 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 trai

Question 1023678: 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 by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Convert all minutes to hours:

--------------

---------------
Let = the distance between the towns
Let = the speed of the slower train in mi/hr
----------------
Equation for the faster train:
(1)
Equation for the slower train:
(2)
-----------------------
By substitution:

mi/hr
------------------
(1)
(1)
(1) mi
The distance between the towns is 182 mi
-----------
check:
(2)
(2)
(2) mi
OK
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