SOLUTION: lightning mcqueen is racing mater in a race. mater is given a 2 hour head stanrt. lightning mcqueen travels 18 mph faster than mater.if lightning mcqueen catches up to mater after
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Question 916078: lightning mcqueen is racing mater in a race. mater is given a 2 hour head stanrt. lightning mcqueen travels 18 mph faster than mater.if lightning mcqueen catches up to mater after 5 hours, how far did each car travel?
Please answer in Rate x time = distance boxes thanks :)
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Mater's speed in mi/hr
= lightening McQueen's speed in mi/hr
-----------------
Start stopwatch when L.M. leaves
Let = distance in miles L.M travels
until he catches Mater
-----------------
Mater's head start is:
------------------
Equation for Mater:
(1)
Equation for L.M.
(2)
----------------------
(2)
Substitute (2) into (1)
(1)
(1)
(1)
and
------------------
L.M. traveled:
(1)
(1)
(1)
(1)
----------------
Mater traveled:
------------------
L.M. traveled 315 mi
Mater traveled 315 mi
--------------------
check:
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
OK
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