Question 533546
Use the distance formula:
{{{d = rt}}} where: d = distance traveled, r = rate or speed of travel, and t = the time spent in traveling.
For the first car:
{{{d[1] = r[1]*t[1]}}} Substitute: {{{r[1] = 60}}} so...
{{{d[1] = 60t[1]}}}
For the second car:
{{{d[2] = r[2]*t[2]}}} Substitute: {{{r[2] = 50}}} so...
{{{d[2] = 50t[2]}}}
Now since you want the time at which these cars will be 330 miles apart,
{{{t[1] = t[2]}}}={{{t}}} and {{{d[1]+d[2] = 330}}}
{{{60t+50t = 330}}}
{{{110t = 330}}}
{{{t = 3}}}hours.
Add this to the starting time of 10:00am to get 1:00pm