SOLUTION: A train leaves Danville Junction and travels north at a speed of 75km/hr. Two hours later, an express train leaves on a parallel track and travels north at 125km/hr. How far from t
Algebra ->
Customizable Word Problem Solvers
-> Travel
-> SOLUTION: A train leaves Danville Junction and travels north at a speed of 75km/hr. Two hours later, an express train leaves on a parallel track and travels north at 125km/hr. How far from t
Log On
Question 124081: A train leaves Danville Junction and travels north at a speed of 75km/hr. Two hours later, an express train leaves on a parallel track and travels north at 125km/hr. How far from the station will they meet? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! A train leaves Danville Junction and travels north at a speed of 75km/hr. Two hours later, an express train leaves on a parallel track and travels north at 125km/hr. How far from the station will they meet?
:
Find out how many hrs until the one train overtakes the other
:
t = travel time of the 1st train
then
(t-2) = travel time of the 2nd train:
:
When this happens they will have traveled the same distance;
write a distance equation: (Distance = speed * time)
:
2nd train dist = 1st train dist
125(t-2) = 75t
:
125t - 250 = 75t
:
125t - 75t = + 250
:
50t = 250
t =
t = 5 hrs
:
Use this, to find the distances:
:
1st train: 5 * 75 = 375 mi
and
2nd train: 3 * 125 = 375 mi also; (confirms our solution)
:
