Question

In the past, there were attempts to use metric system in the measurement of time, which could not succeed. In this system, whole day was divided into 10 decimal hours, each consisting of 100 decimal minutes and the day starting was at midnight. If one such watch using this system shows 6 decimal hours and 50 decimal minutes then this time in our traditional system is:

• A. 3:06 PM
• B. 3:30 PM
• C. 3:36 PM
• D. 4:00 PM.

Answer 1

Answer: (C)

3:36 PM

Answer 2

There are 1440 traditional minutes in a day. The watch is showing 650 decimal minutes.

Equivalent traditional minutes = $\frac{650}{1000} \times 1440$

Equivalent traditional hours = $\frac{650}{1000} \times \frac{1440}{60} = 15.6$ hours

0.6 hours = 0.6 × 60 = 36 minutes

Therefore the time is 1536 hrs. or 3 : 36 PM.