Difference between revisions of "2023 SSMO Accuracy Round Problems/Problem 1"
(Created page with "==Problem== Mr. Sammy proposes a Hamburger Proclamation, which has <math>500</math> lines, divided into paragraphs of <math>5</math> lines each. It takes him <math>23</math> s...") |
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==Solution== | ==Solution== | ||
| + | There are <math>100</math> paragraphs, so there are <math>499</math> pauses between all lines and <math>99</math> pauses between paragraphs. | ||
| + | |||
| + | Then it takes him | ||
| + | \[ | ||
| + | 23 \cdot 500 + (499 - 99) \cdot 0.5 + 99 \cdot 2 = 11898 | ||
| + | \] | ||
| + | seconds to read the entire passage. | ||
| + | |||
| + | Then, <math>10S</math> is <math>\frac{10}{60} = \frac16</math> of this | ||
| + | value, so <math>\lfloor 10S \rfloor = 1983</math> | ||
Revision as of 14:43, 9 September 2025
Problem
Mr. Sammy proposes a Hamburger Proclamation, which has 
lines, divided into paragraphs of 
lines each. It takes him 
seconds to read each line. Additionally, he adds a 
second pause between two lines in a paragraph, and a 
second pause between paragraphs. If it takes him 
minutes to read the whole Hamburger Proclamation, find 
Solution
There are 
paragraphs, so there are 
pauses between all lines and 
pauses between paragraphs.
Then it takes him \[
23 \cdot 500 + (499 - 99) \cdot 0.5 + 99 \cdot 2 = 11898
\] seconds to read the entire passage.
Then, 
is 
of this
value, so 
