SOLUTION: The speed of a freight train is 14 km/hr slower than the speed of a passenger train. The freight train travels 330 km in the same time that it takes the passenger train to travel 4

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: The speed of a freight train is 14 km/hr slower than the speed of a passenger train. The freight train travels 330 km in the same time that it takes the passenger train to travel 4      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 624496: The speed of a freight train is 14 km/hr slower than the speed of a passenger train. The freight train travels 330 km in the same time that it takes the passenger train to travel 400 km. Find the speed of the freight train.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +t+ = the time for both trains
Let +s+ = the speed of the passenger train in km/hr
+s+-+14+ = the speed of the freight train in km/hr
---------
Equation for passenger train:
(1) +400+=+s%2At+
Equation for freight train:
(2) +330+=+%28+s+-+14+%29%2At+
--------------------
(2) +330+=+s%2At+-+14t+
Substitute (1) into (2)
(2) +330+=+400+-+14t+
(2) +14t+=+400+-+330+
(2) +14t+=+70+
(2) +t+=+5+
and
(1) +400+=+s%2A5+
(1) +s+=+400%2F5+
(1) +s+=+80+
+s+-+14+=+66+
The speed of the freight train is 66 km/hr
check:
(2) +330+=+%28+80+-+14+%29%2A5+
(2) +330+=+66%2A5+
(2) +330+=+330+
OK