SOLUTION: A motorist driving 90 km/h can go from Midland to Shiloh in two hours less than a train that averages 75 km/h. How far apart are the two towns?

Question 166796: A motorist driving 90 km/h can go from Midland to Shiloh in two hours less than a train that averages 75 km/h. How far apart are the two towns?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
You can use: for this problem, where:
d = distance traveled.
r = rate (speed) of travel.
t = time taken to travel distance d at a speed of r.
For the car, r = 90 km/h.
For the train, r = 75 km/h
(t-2 because the car takes 2 hours less than the train).
The distance is the same for each, so...

Subtract 75t from both sides.
Add 180 to both sides.
Divide both sides by 15.
Now substitute this into either one of the two distance equations.
For the car:
Substitute t = 12.

km.
For the train:
Substitute t = 12.

km.
The towns are 900 km. apart.

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