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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

ব্যাখাঃ ধরি, full অবস্থায় বেগ x mph, তাহলে empty অবস্তায় বেগ 2x mph. Total time = 8 hours - 30 minutes = 7.5 hours ধরি, যাওয়ার সময় x বেগে চলে t1 hour আসার সময় 2x বেগে চলে t2 hour t1 + t2 = 7.5 t1 = 7.5 - t2 এখন, বেগ = দূরুত্ব / সময় বেগ × সময় = দূরুত্ব যাওয়ার সময় x × t1 = 20 x ( 7.5 - t2) = 20 7.5 x - t2x = 20.......... (1) t2x = 10 (1) নং এ বসিয়ে, 7.5 x = 30 x = 4 অর্থাৎ emty অবস্থায় Speed = 2x = 2× 4 = 8 mph

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