Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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# Problem K. 446. (January 2015)

K. 446. John works for two companies, each paying him by the hour. If he works twice as much for the first company than for the second one during the course of a month, then his monthly wages will be 4/5 as much as they would be if he did it the other way round. How long does he need to work for the first company to earn as much as he is paid by the second company for 10 hours?

(6 pont)

Deadline expired on February 10, 2015.

### Statistics:

 85 students sent a solution. 6 points: Ágoston Tamás, Balogh Boróka, Béda Gergely, Benda Orsolya, Bui Huyen Trang Adrienn, Csányi Dávid, Cselovszki Tamás, Csiszer Bence, Dévény Csaba, Dömötör Emőke, Farkas Panka, Fazekas 15 Levente, Fekete Balázs Attila, Filip Krisztina, Harsányi Benedek, Hegedűs 330 Marcell, Horváth Noémi, János Zsuzsa Anna, Járomi Bence, Kovács 124 Marcell, Kovács Richárd, Kubovics Márton, Maksa Gergő, Márton Anna, Mihályházi Péter, Nagy Marcell, Nagy Viktor, Németh 962 Ambrus, Németh Csilla Márta, Paulovics Péter, Pintér 345 Balázs, Pongrácz Edina, Rátkai Petra, Rittgasszer Ákos, Rumi Anna Sára, Slenker Balázs, Szarka Álmos, Szilágyi Botond, Sziráki Boglárka Tünde, Szűcs 865 Eszter, Tamási Kristóf Áron, Thuróczy Mylan, Tóth Fanni Eszter, Turós Igor, Walter Anna. 5 points: 10 students. 4 points: 5 students. 3 points: 8 students. 2 points: 2 students. 1 point: 1 student. 0 point: 1 student. Unfair, not evaluated: 13 solutions.

Problems in Mathematics of KöMaL, January 2015