SOLUTION: a freight train leaves a station traveling 60 miles per hour. Thirty minutes later a passenger train leaves the station in the same direction on a parallel track at a speed of 72

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: a freight train leaves a station traveling 60 miles per hour. Thirty minutes later a passenger train leaves the station in the same direction on a parallel track at a speed of 72       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 525597: a freight train leaves a station traveling 60 miles per hour. Thirty minutes later a passenger train leaves the station in the same direction on a parallel track at a speed of 72 miles per hour. How long will it take the passenger train to catch the freight train?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The freight train has a head start of
+d%5B1%5D+=+60%2A%281%2F2%29+
+d%5B1%5D+=+30+ mi
Start a stop watch when the passenger train leaves
They will both travel for the same amount of time
until they meet. Call this time t
Let d = distance passenger train goes
-------------
For passenger train:
(1) +d+=+72t+
For freight train:
(2) +d+-+30+=+60t+
-----------------
Substitute (1) into (2)
(2) +72t+-+30+=+60t+
(2) +12t+=+30+
(2) +t+=+2.5+
It will take the passenger train
2.5 hrs to catch the freight train