Question 709159
Start time begins at 0 when the car enters the freeway.  The bus has reached a certain distance along or on the freeway when the car begins on the freeway at time 0.  


What distance did the bus travel before the car reached the freeway?  {{{55*(1/12)}}} miles.  Five minutes is one twelfth of an hour.


How much distance on the freeway will bus and car travel when they match in this distance?
BUS:  {{{55*(1/12)+55*t}}}
CAR:  {{{70*t}}}


We do not know the value of that distance but the variable there is TIME, which is what we are asked to find.


So both those distances must be equal when the car reaches the bus.
{{{highlight(55/12+55t=70t)}}}, solve for {{{t}}}, hours.  Note, 60 minutes is 1 hour.


Continuing...,
{{{55/12=70t-55t}}}
{{{55/12=15t}}}
{{{11/12=3t}}},  because we can divide both sides by 5
{{{11/(12*3)=t}}}
{{{highlight(t=11/36)}}}   that is hours.
{{{highlight((11/36)*60=18&1/3)}}} minutes.  Or, 18 minutes and 20 seconds.