SOLUTION: A ferry leaves a harbor and travels to a resort island at an average speed of 22 mph. On the return trip, the ferry travels at an average speed of 18 mph because of fog. The total

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Question 395830: A ferry leaves a harbor and travels to a resort island at an average speed of 22 mph. On the return trip, the ferry travels at an average speed of 18 mph because of fog. The total time for the trip is 5 h. How far is the island from the harbor?
__?__ Miles

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A ferry leaves a harbor and travels to a resort island at an average speed of 22 mph.
On the return trip, the ferry travels at an average speed of 18 mph because of fog.
The total time for the trip is 5 h. How far is the island from the harbor?
:
Let d = one way dist to the island
:
A simple time equation (time = dist/speed)
d%2F22 + d%2F18 = 5
Multiply by the LCM; 198, results
9d + 11d = 5(198)
20d = 990
d = 990/20
d = 49.5 mi to the island
:
:
Check this by finding the time each way
49.5/22 = 2.25 hrs
49.5/18 = 2.75
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total hrs: 5