SOLUTION: drivers A and B are 50 mi apart, and they plan to meet at 7 p.m. at a point between them that is 30 mi from A. both drive at 50 mph. what time should each drivers start out?
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Question 996614: drivers A and B are 50 mi apart, and they plan to meet at 7 p.m. at a point between them that is 30 mi from A. both drive at 50 mph. what time should each drivers start out?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Since A has to travel the greater distance, I
would giveA a head start
---------------
Let A's travel time =
B's travel time =
-----------------
A's equation:
(1)
B's equation:
(2)
--------------------------
(2)
and
(2)
(2)
and
(1)
(1)
(1)
(1)
----------------------
min
min
-------------------
A must start out 36 min before 7 PM, or 6:24 PM
B must start out 24 min before 7 PM, or 6:36 PM
--------------
Note that A gets a 12 min head start
--------------------------------
check:
(1)
(1)
(1)
(1)
OK
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