SOLUTION: A cabin cruiser leaves a harbor and travels to a small island at an average speed of 24 mph. On the return trip, the cabin cruiser travels at an average speed of 16 mph. The total

Question 810303: A cabin cruiser leaves a harbor and travels to a small island at an average speed of 24 mph. On the return trip, the cabin cruiser travels at an average speed of 16 mph. The total time for the trip is 4 hours. How far is the island from the harbor?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A cabin cruiser leaves a harbor and travels to a small island at an average speed of 24 mph. On the return trip, the cabin cruiser travels at an average speed of 16 mph. The total time for the trip is 4 hours. How far is the island from the harbor?
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Harbor to Island DATA:
rate = 24 mph ; time = x hrs; distance = 24x miles
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Island to Harbor DATA:
rate = 16 mph ; time = 4-x hrs ; distance = 16(4-x) = 64-16x miles
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Equation:
24x = 64-16x
40x = 64
x = 1.6 hr
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Harbor to island distance: 24x = 24*1.6 = 30.4 miles
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Cheers,
Stan H.
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