Question

9.In a certain hospital, patients were treated by two doctors in consultation rooms. On the average one doctor takes 3 minutes while the other doctor takes 5 minutes to treat a patient. If the two doctors starts to treat at the time, find the shortest time it takes to treat 200 patients in that hospital. (3 marks)​

Answer 1

`6(1)/(4) \ hours`

Explanation:

For each minute:

• first doctor can treat
  `(1)/(3)` patient
• second doctor can treat
  `(1)/(5)` patient

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Therefore, the total patient per minute =
`(1)/(3) +(1)/(5)`

`=(5)/(15) + (3)/(15)`

`=(8)/(15)` patient

For 200 patient, it will take:

`200/(8)/(15)`

`=200*(15)/(8)`

`=375\ minutes`

`=6(1)/(4) \ hours`