Question 619776
 At 9 am a car leaves a city traveling west.
Assume you mean
 An HOUR and half later a faster car leaves the same city traveling east. 
 At 2 pm the two cars are 410 miles apart. 
 If the slower car travels at 2/3 the speed of the faster car, what is the speed of the fast car 
:
Let s = speed of the fast car
then
{{{2/3}}}s = speed of the slower car
:
Find the travel time of the slower car: 9 am to 2 pm = 5 hrs
Find the travel time of the faster car: 5 - 1.5 = 3.5 hrs
:
WRite a distance equation; dist = speed * time
slow car dist + fast car dist = 410 miles
{{{2/3}}}s * 5 + 3.5s = 410
{{{10/3}}}s + 3.5s = 410
Multiply by 3
10s + 10.5s = 1230
20.5s = 1230
s = {{{1230/20.5}}}
s = 60 mph is the fast car
then
{{{2/3}}}*60 = 40 mph is the slow car