SOLUTION: A motorboat leaves a harbor and travels at an average speed of 9 mph toward a small island. Two hours later a cabin cruiser leaves the same harbor and travels at an average speed o

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Question 625748: A motorboat leaves a harbor and travels at an average speed of 9 mph toward a small island. Two hours later a cabin cruiser leaves the same harbor and travels at an average speed of 18 mph toward the same island. In how many hours after the cabin cruiser leaves the harbor will it be alongside the motorboat?

Answer by nerdybill(7384) About Me  (Show Source):
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A motorboat leaves a harbor and travels at an average speed of 9 mph toward a small island. Two hours later a cabin cruiser leaves the same harbor and travels at an average speed of 18 mph toward the same island. In how many hours after the cabin cruiser leaves the harbor will it be alongside the motorboat?
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apply the distance formula of d=rt.
The two boats will have traveled the same distance when they are along side each other.
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Let t = time (hours) cabin cruiser traveled
then
t+2 = time (hours) motorboat traveled
.
9(t+2) = 18t
9t+18 = 18t
18 = 9t
2 hours = t