SOLUTION: A train leaves the station traveling due east at a rate of 45 miles per hour. A second train leaves a different station an hour later, traveling due west on the same track, going 6
Algebra ->
Customizable Word Problem Solvers
-> Travel
-> SOLUTION: A train leaves the station traveling due east at a rate of 45 miles per hour. A second train leaves a different station an hour later, traveling due west on the same track, going 6
Log On
Question 320421: A train leaves the station traveling due east at a rate of 45 miles per hour. A second train leaves a different station an hour later, traveling due west on the same track, going 60 miles per hour. If the stations are 255 miles apart, how many miles from the halfway point between the stations will the trains collide? Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website! Rate*Time=Distance
.
.
.
Let train 1 start at position and move in the positive x direction (East).
Train 1 position:
Train 2 starts at position and moves in the negative x direction (West).
Train 2 position:
Find t when train 1's position equals train 2's position.
.
.
Find the position of each train using either equation.
Train 1:
.
.
The halfway point occurs at
.
.
The distance from the halfway point to the collision point is
