SOLUTION: It takes a passanger train 5 hr less time than it takes a freight train to make the trip from Picture Rock to Shelbyville. The passanger train averages 90mph while the freight trai

Question 146139: It takes a passanger train 5 hr less time than it takes a freight train to make the trip from Picture Rock to Shelbyville. The passanger train averages 90mph while the freight train averages 60 mph. Find the distance from Picture Rock to Shelbyville.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Since "takes a passanger train 5 hr less time than it takes a freight train" this means that we have the equation:

Start with the distance-rate-time formula

Let's set up the equation for the passenger train
Plug in and .

Plug in

Distribute

Now let's set up the equation for the freight train

Plug in and .

Now replace "d" with

Add to both sides.

Subtract from both sides.

Combine like terms on the left side.

Divide both sides by to isolate .

Reduce.

So it takes 15 hours for the freight train to arrive

Go back to the freight train speed equation

Plug in

Multiply

So the distance is 900 miles
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