# Math Help - Word problem #3

1. ## Word problem #3

The speed of a passenger train is 12 mph more than the speed of a freight train. The passenger train travels 290 miles in the same time it takes the freight train to travel 230 miles. Find the speed of each train.

2. Originally Posted by junebug017
The speed of a passenger train is 12 mph more than the speed of a freight train. The passenger train travels 290 miles in the same time it takes the freight train to travel 230 miles. Find the speed of each train.
let's say v_1 is speed of freight train, v_2 is speed of the passenger train v_2= 12+v_1 , time is "t" for the both trains is the same and you have distance of freight train s_1= 230 and distance of the passenger train s_2= 290

$\displaystyle v_2 = \frac {290}{t}$
$\displaystyle v_1=v_2 +12 = \frac {230}{t}$