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F.1 數學問題 20Points

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In a ferry pier, ferries set off for islands A B C, every 25, 45, 75 minutes respecetively. At 10:00 a.m., ferries set off from the pier for all the three islands. When will they set off again if the ferry services end at 11:00p.m.every day. Please list all the possible cases. Plaese... 顯示更多 In a ferry pier, ferries set off for islands A B C, every 25, 45, 75 minutes respecetively. At 10:00 a.m., ferries set off from the pier for all the three islands. When will they set off again if the ferry services end at 11:00p.m.every day. Please list all the possible cases. Plaese answer in chinese if you can!

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25 45 75 的L.C.M.(最小公倍數) 25 = 5x5 45 = 5 x3x3 75 = 5x5 x3 LCM = 5x5x3x3 = 225min = 3hr 45min 即係話, 每三小時四十五分鐘就遇一次 10:00 開工就遇一次 13:45 17:30 21:15 -------- 25:00(rejected) 所以, 收工前, (連開工遇一次) 一天總共遇到4次

其他解答:

25 45 75 的L.C.M.(最小公倍數) 25 = 5x5 45 = 5 x3x3 75 = 5x5 x3 LCM = 5x5x3x3 = 225min = 3hr 45min 即係話, 每三小時四十五分鐘就遇一次 10:00 開工就遇一次 13:45 17:30 21:15 -------- 25:00(rejected) 所以, 收工前, (連開工遇一次) 一天總共遇到4次

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