SOLUTION: Carl chases Lemony in a game of tag. Lemony leaves the safe zone traveling at 15 feet per second in a straight line. Carl leaves the safe zone to follow him 3 seconds later, travel

Question 758308: Carl chases Lemony in a game of tag. Lemony leaves the safe zone traveling at 15 feet per second in a straight line. Carl leaves the safe zone to follow him 3 seconds later, traveling at 20 feet per second. How long in seconds after he leaves the safe zone is Carl able to tag Lemony?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
How much of a head start does Lemony get
in sec ?

ft
---------------
Start a stopwatch when Carl leaves
Let = time in seconds on stopwatch when
Carl tags Lemony
Let = distance in ft that Carl goes until
he catches Lemony
-----------------
Equation for lemony:
(1)
Equation for Carl:
(2)
-----------------
By substitution:
(1)
(1)
(1)
Carl tags Lemony 9 sec after he leaves safe zone
------------
check:
(2)
(2)
(2) ft
and
(1)
(1)
(1)
(1) ft
OK

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