rational eqns: If one ran 2 mph faster than the other, find

[JayJay06]

During an afternoon practice, two track team members took the same amount of time to run 18 miles and 12 minles, respectively. If one of the track team members ran 2 miles per hour faster than the other, find the rate of each team member.

I need help with this one because I don't remember the forumla.

 

[galactus]

Distance = rate*time

They took the same amount of time.

\(\displaystyle \L\\\frac{d}{r}=t\)

\(\displaystyle \L\\\frac{18}{2+x}=\frac{12}{x}\)

 

[tkhunny]

Distance = Rate * Time

X = Speed of Slow Guy

X + 2 mph = Speed of Fast Guy

t = Time they ran.

Fast Guy

18 mi = (X+2 mph)*t

Slow Guy

12 mi = (X)*t

Just tackle it a piece at a time. There really is no need to see the end from the beginning. Get a few rote steps in your head and see what makes sense after you have writtn down a few formulas and made a few written definitions.