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MathNet 2023-part-06 — 191 problems (EN–VI) Question 25

Math Olympiad Vault · MathNet 2023-part-06 — 191 problems (EN–VI)

Question 25

In the town of Zmajski Vrh the inhabitants decided to use a new way of measuring the time of day. They divided each day by noon and midnight into two equal halves. Instead of dividing each half into 12 hours of 60 minutes each, they divided it into 10 dragon hours of 100 dragon minutes each. The mayor of Zmajski Vrh has a clock that was made for measuring time in dragon hours and dragon minutes. At noon the mayor's clock shows the time 10.00, and an ordinary clock shows the time 12.00. What time does the ordinary clock show at the moment when the mayor's clock shows the time 8.25?

(A) 7.54
(B) 8.15
(C) 8.25
(D) 9.15
(E) 9.54