SOLUTION: Jenna and Caleb are having a go-kart race. Jenna's go kart is traveling 10 mph while Caleb's is only going 8 mph. If Caleb gets a 1/10 mile head start, how many minutes will it tak

Question 209589: Jenna and Caleb are having a go-kart race. Jenna's go kart is traveling 10 mph while Caleb's is only going 8 mph. If Caleb gets a 1/10 mile head start, how many minutes will it take Jenna to catch him?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Each person has their own equation
For Jenna:

For Caleb:

given:
mi/hr
mi/hr
hr (I'll call them both )

Notice that they both start at the same time
and they finish at the same time.
And also, Jenna has to go 1/10 mi further
---------------------
Now I can rewrite their equations

and

By substitution,

hr
Converting to minutes:
min
It will take Jenna 3 minutes to catch him
check answer:

mi
and

mi
This shows Caleb has headstart
OK

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