SOLUTION: Hi! I would like some help to solve this problem: A passenger train traveling at 50 kph leaves a station 6 hours after a freight train and overtakes it in 4 hours. Find the rate

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Hi! I would like some help to solve this problem: A passenger train traveling at 50 kph leaves a station 6 hours after a freight train and overtakes it in 4 hours. Find the rate      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 721589: Hi! I would like some help to solve this problem:
A passenger train traveling at 50 kph leaves a station 6 hours after a freight train and overtakes it in 4 hours. Find the rate of the freight train.
Thanks!

Found 2 solutions by mananth, ghjg:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
freight train speed = x
passenger train speed = 50
freight train has traveled 6x miles before passenger train starts.
Catch up speed = 50-x
Catch up distance = 6x
time = 4
t= d/r
4= 6x/(50-x)
4(50-x) =6x
200-4x=6x
10x= 200
x= 20mph speed of freight train

Answer by ghjg(1) About Me  (Show Source):