SOLUTION: Michael Chan leaves a dock in his motorboat and travels at an average speed of 9 mph toward the Isle of Shoals, a small island off the coast of Massachusetts. Two hours later, a t

Question 923361: Michael Chan leaves a dock in his motorboat and travels at an average speed of 9 mph toward the Isle of Shoals, a small island off the coast of Massachusetts. Two hours later, a tour boat leaves the same dock and travels at an average speed of 18 mph toward the same island. How many hours after the tour boat leaves will Michael's boat be alongside the tour boat?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Michael's head start is:

mi
-----------------
Start a stopwatch when the tour
boat leaves the dock
Let = time in hrs on stopwatch
when boats meet
Let = distance in mi from
dock to Isles of Shoals
-----------------
Michael's equation:
(1)
tour boat's equation:
(2)
-----------------
By substitution:
(1)
(1)
(1) hrs
-----------------
The boats will meet in 2 hrs
check:
(1)
(1)
(1)
and
(2)
(2)
(2)
OK

RELATED QUESTIONS
�Michael Chan leaves a dock in his motorboat and travels at an average speed of 9 mph... (answered by Boreal)

Michael Chan leaves a dock in his motorboat and travels at an average speed of 9 mph... (answered by Theo,MathTherapy,greenestamps)

A motorboat leaves a harbor and travels at an average speed of 9 mph toward a small... (answered by nerdybill)

a motorboat leaves the harbour and travels at an average speed of 9mph toward a small... (answered by ptaylor)

A motorboatleaves a harbor and travels at an average speed of 9mph toward a small island. (answered by mananth)

A motorboat leaves a harbor at an average speed of 9mph toward a small island. Two hours... (answered by vleith)

A motorboat leaves a dock and travels an average speed of 15mph towards an island. The... (answered by ikleyn)

Hi I am stuck and need some help. Could someone please help me with setting this problem... (answered by checkley75)

a motorboat leaves a harbor and travels at an average speed of 15 mph toward an island.... (answered by ikleyn)