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.?
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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! .
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.
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).
