<PRE><B>Question 1166177</B>
r * t = d
r = rate of speed
t = time
d = distance


9 * t = d = rate * time for the motor boat.
27 * (t - 2) = d = rate * time for the tour boat.


they will meet up with each other when they both travel the same distance in the same time.


since they both travel the same distance of d, then:
9 * t = 27 * (t - 2)
simplify to get:
9 * t = 27 * t - 54
subtract 9 * t from both sides of the equation and add 54 to both sides of the equation to get:
18 * t = 54
solve for t to get:
t = 3


the motor boat will have traveled at 9 mph for 3 hours to make a distance of 9 * 3 = 27 miles.
the tour boat will have traveled at 27 mph for 1 hour to make a distance of 1 * 27 = 27 miles.


since the tour boat left the dock 2 hours after the motor boat, they will  both meet up with each other 27 miles from the same dock that they both departed  after 3 hours have elapsed.













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