SOLUTION: A patient must take his medication every 7 hours starting at 7:00 A.M., Sunday. On what day will the patient first receive his medication at 8 A.M.?

Question 1026652: A patient must take his medication every 7 hours starting at 7:00 A.M., Sunday. On what day will the patient first receive his medication at 8 A.M.?
Found 2 solutions by ikleyn, robertb:
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
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A patient must take his medication every 7 hours starting at 7:00 A.M., Sunday. On what day will the patient first receive his medication at 8 A.M.?
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One can equivalently reformulate the problem in this, more solvable way: What multiple of 24 gives the remainder 6 when divided by 7? 24 gives the remainder 3. 48 gives the remainder 6. It is exactly what we need. The answer is: this will happen after 49 hours, i.e. on Tuesday, 8:00 am.

Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
8 am of Tuesday.
This can be done by brute force:
7 am (Sun) --> 2pm (Sun) --> 9pm (Sun) --> 4am (Mon) --> 11am (Mon)
--> 6pm (Mon) --> 1am (Tue) --> 8am (Tue).
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