SOLUTION: Show all work as you solve the following problems and write complete answers, including appropriate units.
Jose left the airport and traveled toward the lake at an average speed o
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Question 1053094: Show all work as you solve the following problems and write complete answers, including appropriate units.
Jose left the airport and traveled toward the lake at an average speed of 50 mph. Mary left one hour later and traveled in the same direction but with an average speed of 75 mph. Find the number of hours Jose traveled before Mary caught up.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Find Jose's head start in miles
mi head start
----------------------------
Start a stop watch when Mary leaves.
Let
= the time on the stop watch when Mary catches
up with Jose
Let = the distance Mary travel until she
catches Jose
-----------------
Mary's equation:
(1)
Jose's equation:
(2)
----------------------
Plug (1) into (2)
(2)
(2)
(2) hrs
-----------------
Jose traveled one hour for his head start and
then 2 more hours until Mary caught up with him
So, Jose traveled 3 hrs until Mary caught up
------------------
check:
(1)
(1)
(1) mi
and
(2)
(2)
(2)
(2) mi
OK
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