Bad Clock -_-
Timothy has a clock that gains 15 minutes each hour; for instance, if it shows the correct time at 3:00 p.m., one hour later it will show a time of 4:15 p.m. when it should show 4:00 p.m. Last night, Timothy set his clock to 10:00 p.m. (which was the correct time). While he was sleeping, the clock stopped working and showed a time of 4:00 a.m., which was 4 hours before Timothy woke up. What time did Timothy wake up? (if your answer is hh:mm, express it as hh.mm)
The answer is 6.48.
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1 solution
When the clock shows 4:00, 6 fake hours have passed, so 4.8 real hours have passed. ( 4 . 8 = 5 6 × 4 )
Therefore, the real time when the clock shows 4:00 is 10:00 + 4.8h = 2:48.
Therefore, the required time is 2:48 + 4h = 6:48.