SOLUTION: A car traveling 80 kilometers per hour is passed by a second car going in the same direction at a constant speed. After 30 seconds, the two cars are 500 meters apart. Find the spee

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A car traveling 80 kilometers per hour is passed by a second car going in the same direction at a constant speed. After 30 seconds, the two cars are 500 meters apart. Find the spee      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 486464: A car traveling 80 kilometers per hour is passed by a second car going in the same direction at a constant speed. After 30 seconds, the two cars are 500 meters apart. Find the speed of the second car.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
+distance=d
velocity=v....first car has v1 and second car has v2
+time=t

d=v%2A+t
given:
A car traveling v1=80km%2Fh
distance given as d=500+m which is d=500m+%2A+%281+km%2F1000m+%29=+.5km
time given as t=30sec+%2A%281%2F60%29sec%2Fmin+%2A%281%2F60%29min%2Fhr=.0083h

v2= speed of faster car
d=vt
d=%28v2-v1%29t
.5=%28v2-80%29+%2A+.0083
divide both sides by .0083, and then add 80
.5%2F.0083%2B80=v2
60.24+%2B80=v2

140.24++=v2 ...............v2=140.24%28km%2Fh%29