SOLUTION: Mario leaves the office and drives downtown at 48 mph. Danica leaves at the same time driving in the same direction at 42 mph. If Mario leaves office at 5:00 pm, at what time they

Question 1148943: Mario leaves the office and drives downtown at 48 mph. Danica leaves at the same time driving in the same direction at 42 mph. If Mario leaves office at 5:00 pm, at what time they will be 15 miles apart?
Jimmy's Plane leaves at 9:00 am at 40 mph. An hour later, Sally's plane leaves the same airport travelling in the same direction at 60 mph. At what time will Sally's plane catch up to Jimmy's ?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the amount of time after they both
leave until they are miles apart
Let = the distance in miles that Danica
( the slower one ) has traveled when Mario has traveled
miles
---------------------------------
Danica's equation:
(1)
Mario's equation:
(2)
------------------------------
(2)

5 PM + 2.5 hrs = 7:30 PM
when they are 15 mi apart
-------------------------------
check answer:
(1)
(1)
(1) mi
and
(2)
(2)
(2)
(2)
(2) mi
OK
===========================================
Let = time in hrs for Sally's plane to
catch up with Jim's
Let = distance in miles Sally's plane
travels to catch up with Jim's
Let . This is Jimmy's head start in miles.
-----------------------------------------------
Sally's equation:
(1)
Jimmy's equation:
(2)
--------------------------------
(2)
(2)
---------------------------------

Sally catches up at 9 AM + 1 + 2 = 12 noon
----------------------------------------------
check answer:
(1)
(1)
(1) mi
and
(2)
(2)
(2)
(2) mi
OK

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