Problem K. 764. (April 2023)

K. 764. In the Seventh Kingdom in the back of beyond, a week lasts one seventh as many days as on the Earth, a day consists of 42 hours, and there are 77 minutes in an hour and 33 seconds in a minute. How many seconds elapse during the course of two weeks there?

Proposed by K.\(\displaystyle \,\)A. Kozma, Győr

(5 pont)

Deadline expired on May 10, 2023.

Sorry, the solution is available only in Hungarian. Google translation

Megoldás. A feladat feltételei szerint \(\displaystyle 1\) hét \(\displaystyle = \frac{7}{7}\) nap \(\displaystyle =1\) nap. Ekkor \(\displaystyle 2\) hét \(\displaystyle =2\) nap \(\displaystyle =2 \cdot 42\) óra \(\displaystyle = 84\) óra \(\displaystyle =84 \cdot 77\) perc \(\displaystyle = 6468 \) perc \(\displaystyle =6468 \cdot 33\) másodperc \(\displaystyle = 213 \, 444 \) másodperc, vagyis Hetedhétországban \(\displaystyle 2\) hét \(\displaystyle 213 \, 444\) másodpercig tart.

Statistics:

82 students sent a solution.
5 points:	66 students.
4 points:	8 students.
3 points:	1 student.
Unfair, not evaluated:	1 solutions.
Not shown because of missing birth date or parental permission:	6 solutions.

Problems in Mathematics of KöMaL, April 2023