Question 1073138
Two train stations are 1250 km apart. At midnight, a passenger train and a freight train leave these stations and start towards each other.
 The passenger train travels 30km/h faster than the freight train, but the passenger train stops for one hour while the freight train travels non-stop.
 The two trains pass each other at 5:00. Find the rate of each train.
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I am ashamed to say that I made a stupid math mistake. Here is the corrected version of this problem
:
let's assume the passenger train stops for 1 hr before they meet
then the passenger travel time = 4 hrs, the freight travels 5 hrs
let s = speed of the freight
then
(s+30) = the speed of the passenger train
The sum of their distances will be 1250 km
4(s+30) + 5s = 1250
4s + 120 + 5s = 1250
9s = 1250 - 120
9s = 1130
s = 1130/9
s = 125.6 km/hr is the speed of the freight
then
125.6 + 30 = 155.6 km/hr is the speed of the passenger train 
:
Now let's assume the passenger train stops for 1 hr after they meet
then both the passenger and the freight travel for 5 hrs
let s = speed of the freight
then
(s+30) = the speed of the passenger train
The sum of their distances will be 1250 km
5(s+30) + 5s = 1250
5s + 150 + 5s = 1250
10s = 1250 - 150
10s = 1100
s = 1100/10
s = 110 km/hr is the speed of the freight
then
110 + 30 = 140 km/hr is the speed of the passenger train