SOLUTION: two cars start 300 miles apart from each other.alice one of the drivers speeds off at 80 miles an hour towards the other car.15 minutes later bob the other driver starts driving an
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Question 901984: two cars start 300 miles apart from each other.alice one of the drivers speeds off at 80 miles an hour towards the other car.15 minutes later bob the other driver starts driving and speeds at 90 miles an hour toward oncoming alice.how long after bob starts traveling do the cars meet? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = distance in miles Bob travels
until they meet
Let = the time in hours after Bob
leaves until they meet
------------------------------------ min = hrs
Alice's head start is: mi
--------------------
Start a stop watch when Bob leaves
Alice's equation:
(1)
Bob's equation:
(2)
----------------
(1)
Substitute (2) into (1)
(1)
(1) hrs
---------------------
After Bob leaves, they meet in 1 hr 39 min approx.
check:
(2)
(2)
(2)
and
(1)
(1)
(1)
(1)
close enough