SOLUTION: A ferry leaves a harbor and travels to a resort island at an average speed of 18 mph. On the return trip, the ferry travels at an average speed of 10 mph because of fog. The total

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Question 795391: A ferry leaves a harbor and travels to a resort island at an average speed of 18 mph. On the return trip, the ferry travels at an average speed of 10 mph because of fog. The total time for the trip is 7 h. How far is the island from the harbor?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A ferry leaves a harbor and travels to a resort island at an average speed of 18 mph. On the return trip, the ferry travels at an average speed of 10 mph because of fog. The total time for the trip is 7 h. How far is the island from the harbor?
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To island DATA:
rate = 18 mph ; time = t hrs ; distance = 18t miles
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From island DATA:
rate = 10 mph ; time = 7-t hrs ; distance = 10(7-t) miles
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Equation:
distance = distance
18t = 10(7-t)
18t = 70 - 10t
28t = 70
t = 35/14 hrs
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Ans: distance = 18t = 18(35/14) = 45 miles
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Cheers,
Stan H.
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