SOLUTION: A passenger train leaves the train depot four hours after the cargo train traveling in the same direction leaves the same depot the cargo train is traveling 10 mph slower than the

Algebra.Com
Question 722374: A passenger train leaves the train depot four hours after the cargo train traveling in the same direction leaves the same depot the cargo train is traveling 10 mph slower than the passenger train given that the passenger train the freight train passes the freight train in two hours find the speed of each train
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A passenger train leaves the train depot four hours after the cargo train traveling in the same direction leaves the same depot
-----------------------------------------------------------
the cargo train is traveling 10 mph slower than the passenger train
-----------------------------------------------------------
given that the passenger train the freight train passes the freight train in two hours find the speed of each train
---------------------
Passenger train DATA
time = 2 hrs ; rate = r + 10 mph ; distance = 2r + 20 miles
-----------------
Cargo train DATA:
time = 6 hrs ; rate = r mph ; distance = 6r miles
--------
Equation:
distance = distance
6r = 2r+20
4r = 20
r = 5 mph (cargo train rate)
r+10 = 15 mph (passenger train rate)
=============
Cheers,
Stan H.






RELATED QUESTIONS

a passenger train leaves a train depot 2 hours after a freight train leaves the same... (answered by josmiceli)
A passenger train leaves a train depot 2 hours after a freight train leaves the same... (answered by mananth)
A passenger train leaves a train depot 2 hours after a freight train leaves the same... (answered by VFBundy)
A passenger train leaves a train depot three hours after a freight train leaves the same... (answered by ankor@dixie-net.com)
Unable to set up following question: a passenger train leaves a train depot 3 hours after (answered by KMST)
A passenger train leaves the train depot 2 hours after a freight train left the same... (answered by lwsshak3)
a passenger train leaves a train depot three hours after a freight train leaves the same... (answered by nyc_function)
a passenger train leaves a train depot 2 h after a frieght train leaves the same depot.... (answered by tvandenberg)
A passenger train leaves a train depot 2 h after a freight train leaves the same depot.... (answered by mananth)