SOLUTION: A train is going to a place B and the velocity is 80 km/h. After half an hour another train leaves for B and its velocity is 100 km/h. the trains arrive in B at the same time. what

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A train is going to a place B and the velocity is 80 km/h. After half an hour another train leaves for B and its velocity is 100 km/h. the trains arrive in B at the same time. what      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 370351: A train is going to a place B and the velocity is 80 km/h. After half an hour another train leaves for B and its velocity is 100 km/h. the trains arrive in B at the same time. what is the lengh of the route ?
plz help
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
A train is going to a place B and the velocity is 80 km/h. After half an hour another train leaves for B and its velocity is 100 km/h. the trains arrive in B at the same time. what is the lengh of the route ?
plz help
...
Let the distance be x km
..
Train 1 speed = 80 km/h
in 1/2 hour it would have traveled 40 km.
...
This is when train 2 leaves A
..
the time taken by train1 to travel x-40 km= time taken by train B to travel x km.
..
speed of train 1 =80km/h
time train 1 = (x-40)/80
...
speed of train2 = 100 km/h
distance = x
..
time train2 = x/100
...
x/100 = (x-40)/80
80x=100(x-40)
80x=100x-4000
100x-80x= 4000
20x=4000
/20
x= 200 km the length of the route.
...
m.ananth@hotmail.ca