SOLUTION: Vince left Trout Creek driving at 40km/h. Sybil followed 2h later driving at 50km/h. How far down the road will Sybil overtake Vince?

Question 899706: Vince left Trout Creek driving at 40km/h. Sybil followed 2h later driving at 50km/h. How far down the road will Sybil overtake Vince?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Vince's head start is:

km
-------------------
start a stopwatch when Sybil leaves
Let = distance Sybil travels
until she overtakes Vince
------------------------------
Let = time it takes for her to
catch Vince
-----------------
Vince's equation:

Sybil's equation:

----------------
By substitution:

--------------
and

-------------
Sybil overtakes Vince 400 km down the road
-------------
check:

OK

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