On a slow Thursday, only two patients are waiting at 9 a.m. After that two patients keep arriving at exact 15 minute intervals starting at 9:15 a.m. -- i.e. at 9:15 a.m., 9:30 a.m., 9:45 a.m. etc. Then the total duration in minutes when all three doctors are simultaneously free is
Explanation:
Patient with token no. 1 will be seen by Dr. Wayne for 25 minutes and that with token number 2 will be seen by Dr. Ben for 10 minutes.
Now the two patients those entered at 9:15 a.m were given tokens with numbers 3 and 4.
These will be seen by Dr. Ben and Dr. Kane respectively.
As Dr. Kane takes 15 minutes to examine one patient, he will be free at 9:30 am.
Thus, in first half an hour three doctors will not be simultaneously free.
This is true for duration of 30 minutes henceforth.
Thus the total duration in minutes when all three doctors are simultaneously free will be 0.
Hence, option (a).
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