Question 549010
We can make two equations from the given question.  
If we let x be the number of hours spent on the bus, and y be the number of hours spent on the train we have:

{{{60*y+40*x=300}}}      (1)
(Note: 60*y gives the miles that the bus travelled, similarly for the train)
{{{x+y=5.5}}}            (2)

Rearrange (2) for x 
{{{x=5.5-y}}}            (3)

Substitute (3) into (1) 
{{{60*y+40*(5.5-y)=300}}} 
{{{60*y+220-40*y=300}}} 
{{{20*y+220=300}}} 
{{{20*y+220-220=300-220}}}
{{{20*y=80}}}
 {{{20*y/20=80/20}}}
{{{y=4}}}               (4)

Substitute (4) into (3)
{{{x=5.5-4}}} 
{{{x=1.5}}}

This means that she spent 1.5 hours on the bus and 4 hours on the train.