Math Help?

Question

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

Answer 1

If "x" is the time in hours it takes the train, then

90(x-2)=75x
90x-180-75x
15x=180
x=12 hours
(75 km/h)(12 h)=900 km

Answer 2

Motorist has a rate of 90 and a time of T-2 (it's hour hours less than the train's time)

Train has a rate of 75 and a time of T.

Both have equal distances, so set up the following equations:
90(T-2) = D
75T = D

Then you can set both equal to each other and solve for T.
90(T-2) = 75T

Once you have you value for T, you can find distance by replacing it back into one of the equations written equal to D.

Hope this helps. Good Luck. :)