Question 158070
h=amount of hours

mph(h)=distance


the passenger train travels the <b>same distance</b> (set equal to each other) in <b>1.5 h less time</b> than the freight train.


{{{(60/h)(h-1.5)=(40/h)(h)}}}


Simplify each side by multiplying
{{{((60h-90)/h)=(40h/h)}}}


Eliminate the denominators, since they are the same thing
{{{60h-90=40h}}}


Subtract 60h from both sides
{{{-90=-20h}}}


Divide both sides by -20
{{{4.5=h}}}


Passenger train: (h-1.5)
Freight train: (h)


Plug in 4.5 for h


4.5-1.5=3.0
---------------------------------------------------------
<b>Answer:</b>


Passenger train= 3 hours
Freight train= 4.5 hours