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In a certain hospital, patients are treated by two doctors in consultation rooms. On average, one doctor takes 3 minutes while the others takes 5 minutes to treat a patient. If the two doctors start to treat patients at the same time, find the shortest time it takes to treat 200 patients.

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1min =1/3 + 1/5 = 8/15
                                  
200
                        =200 × 15/8
                         =375minutes

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