Question Details

Three doctors, Dr. Ben, Dr. Kane and Dr. Wayne visit a particular clinic Monday to Saturday to see patients. Dr. Ben sees each patient for 10 minutes and charges Rs. 100/-. Dr. Kane sees each patient for 15 minutes and charges Rs. 200/-, while Dr. Wayne sees each patient for 25 minutes and charges Rs. 300/-.


The clinic has three rooms numbered 1, 2 and 3 which are assigned to the three doctors as per the following table.

Room No. Monday & Tuesday Wednesday & Thursday Friday & Saturday
1 Ben Wayne Kane
2 Kane Ben Wayne
3 Wayne Kane Ben

The clinic is open from 9 a.m. to 11.30 a.m. every Monday to Saturday.

On arrival each patient is handed a numbered token indicating their position in the queue, starting with token number 1 every day. As soon as any doctor becomes free, the next patient in the queue enters that emptied room for consultation. If at any time, more than one room is free then the waiting patient enters the room with the smallest number. For example, if the next two patients in the queue have token numbers 7 and 8 and if rooms numbered 1 and 3 are free, then patient with token number 7 enters room number 1 and patient with token number 8 enters room number 3.

Mr. Singh visited the clinic on Monday, Wednesday, and Friday of a particular week, arriving at 8:50 a.m. on each of the three days. His token number was 13 on all three days. On which day was he at the clinic for the maximum duration?

Options

A

Monday

B

Friday

C

Wednesday

D

Same duration on all three days

Show Answer

Correct Answer :

Option A

Monday

Solution :

To find the day on which Mr. Singh spent the maximum duration at the clinic, we analyze the service times and sequence of token numbers on Monday, Wednesday, and Friday.

Since his token number is 13, his waiting time and consultation depend on the presence and speed of the doctors working on those specific days. Comparing the cumulative service times of the doctors on each of these three weekdays allows us to identify the day on which the total time spent (waiting time + consultation time) is maximized.

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