Question 932069
The distance between the stations is 250km and after 2.5 hours the trains are 25km apart.
The total distance that the trains have traveled is 250km - 25km or 225km.
Let X be the speed of the slower train in km/hr
{{{225km = 2.5X + 2.5*(X+10)}}}
Simplify the equation
{{{225 = 2.5X + 2.5X + 25}}}
Combine like terms
{{{225 = 5X + 25}}}
Subtract 25 from both sides
{{{200 = 5X}}}
Divide both sides by 5
{{{highlight(40 = X)}}}
The slower train is moving at 40km/hr.
That means that the faster train is moving at 50km/hr