SOLUTION: A motorboat leaves the harbor at 7 am at the rate of 9 mph towards a small island. Two hours later, a cabin cruiser leaves the same station at the rate of 18 mph towards the same i

Question 517059: A motorboat leaves the harbor at 7 am at the rate of 9 mph towards a small island. Two hours later, a cabin cruiser leaves the same station at the rate of 18 mph towards the same island. At what time will the Cabin Cruiser overtake the first?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
What is the motorboat's head start in miles?

mi
Start a stopwatch when the cabin cruiser leaves
Both will travel for the same amount of time
For cabin cruiser:
(1)
For motorboat:
(2)
Substitute (1) into (2)
(2)
(2)
(2) hrs
This is the time elapsed from when the cabin cruiser left,
which was = 9 AM, so
The Cabin Cruiser overtakes the motorboat at = 11 AM

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