Question 308214
A freight train leaves a sterling traveling east at 40 miles per hour. Two hours later a passenger train also headed east, leaves Sterling on a parallel track at 60 miles per hour. How FAR are the trains from Sterling will the passenger train catches up to the freight train.

Freight train rate = 40 mph
in 2 hours it will have traveled 80 miles.
Let this point be A

Let the point they meet be Y

Let the distance from A to B be x miles

.
Passenger train rate = 60 mph
It has to travel x+80 miles to catch up with the freight train
The time taken by this train to go to B  will be x+80/60
.
When the freight train is at point A passenger train is at the sterling.
The freight train  travels x miles in the same time as the passenger train takes to travel x+80 miles
..

time taken by freight train to travel x miles = x/40
.
x/40 = x+80/60

60x=40(x+80)
60x=40x + 3200
20x= 3200
x=160 miles

The point they meet is x+80 miles
=160+80 miles = 240 miles