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Question
On what day of the week and at what time does a 555 hour competition start if the competition has to end on a saturday at 15.00?

Answer
There are 24 hours each day.

Dividing the "number of hours" by "hours per day", we get 555/24, which may be written as a mixed fraction 23 and 1/8 days. The fraction 1/8 corresponds to 3 hours.

All in all, we must go back 23 days and 3 hours.
The time is going to be 12:00 (this being 15:00-3:00).

If we go back 21 days (i.e., 3 weeks) it would be a Saturday. The day is going to be Thursday (going back 23 days).

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When I work through problems, I like to emphasize concepts which I believe are worth noting. I will try to answer questions in the following areas, but not at the advanced level. Algebra. Sequences & Series. Trigonometry. Functions & Graphs. Coordinate Geometry. Quadratic Polynomials. Exponential & Logarithms. Basic Calculus. Probability, Permutation and Combination. Mathematical Induction. Complex numbers. Physics problems.

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I have worked as a teaching assistant in college. My hope is that more people will share knowledge without boundary, give help without seeking recognition or monetary rewards.

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