BdMO National 2014: Junior 3

[Labib]

Subrata has invented a new type of clock,according to which, there are $15$ hours in each day and $80$ minutes in each hour. For example Subrata's clock shows $10:00$ when the actual time is $16:00$ in a traditional clock. If the time is $20:36$ in a traditional clock, then what will be the time in Subrata's clock ?

[Labib]

Here are some hints-
Hint $1$:

Did you notice that,
\[(15*80)_{subrata_-minute} = (24*60)_{traditional_-minute}\]
and, \[(10*80)_{subrata_-minute} = (16*60)_{traditional_-minute}\]
From this information, can you deduce, $1$ $subrata_-minute$ = how many $traditional_-minute$?

Hint $2$: (answer)

If you are looking for an answer, here it is -> $12:70$