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A ferry, when empty , travels twice as fast as when it is full. It travels 20 miles south with a cargo, spends 30 minutes for unloading , and returns to its original port empty in a total of 8 hours , what is the speed of the ferry when it is empty?

A ferry, when empty , travels twice as fast as when it is full. It travels 20 miles south with a cargo, spends 30 minutes for unloading , and returns to its original port empty in a total of 8 hours , what is the speed of the ferry when it is empty? Correct Answer 8 mph

Let, In 1 hours the ferry goes x km when loaded and " 1 " " " " 2x " " empty According to question, 20x + 202x = 8 - 0·5 hours  ∴30 minute = 12hours = 0·5hours⇒40 + 202x = 7·5⇒60 = 15x∴x = 4So, ferry goes2×4 = 8 km in 1 hours when it is empty.

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