Arpan has the misfortune to own an unreliable clock. This one speeds up by exactly 15 minutes every hour. It is now showing 03:00 a.m. and Arpan knows that it was correct at midnight, when he set it. The clock stopped four hours ago, what is the correct time? How to answer - If the time is 10 : 40 a.m. , then give the answer as 10 + 40/60 = 10 + 0.67 = 10.67.
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Since the clock is gaining 15 minutes every hour, for every real hour that has passed, the clock will show 75 minutes.
Since the clock shows 3:00 am, we know that 180 clock minutes have passed.
This equals 144 real minutes (180 / 75 x 60), so the clock shows 2:24 am.
The clock stopped 240 minutes ago (4 hours), so the time must now be 6:24 am. So, the required answer is 6 + 24/60 = 6 + 0.4 = 6.4.