Question

Change the given following into hours and minutes.
1. 300 min
2. 480 min
3. 1200 min
4. 912 min

Answer 1

Hint: We first indicate the relation between all the three hands in a clock. Then using the relation, we apply binary operations to convert the minute values into hours. Also, we use specific characteristics to both use decimal and complex units.

Complete step-by-step solution:
In a clock, there are three types of hands. They are hour’s hand, minute’s hand, and second, ’s hand. They are all are interconnected in a multiplication rule of 60.
So, 1 minute = 60 seconds, 1 hour = 60 minutes = $(60\times 60)=3600$ seconds
The hour’s hand is the slowest and shortest hand of the clock.
The minute’s hand is the longest hand of the clock.
The second’s hand is the fastest hand of the clock.
So, to convert from minute to hour we divide by 60.
Now, it’s given 300 minutes. We divide it with 60.
So, 300 mins = ${\displaystyle \frac{300}{60}}=5$ hours.
For the second one, it’s given 480 minutes.
So, 480 mins = ${\displaystyle \frac{480}{60}}=8$ hours.
For the third one, it’s given 1200 minutes.
So, 1200 mins = ${\displaystyle \frac{1200}{60}}=20$ hours.
For the fourth one, it’s given 912 minutes.
So, 912 mins = ${\displaystyle \frac{912}{60}}=15.2$ hours.
Here the complex data with the decimal point can also be expressed in the form of a mixed value of hours and minutes.
So, we have total 15 hours in complete. so, $(15\times 60)=900$ minutes.
We are left with $912-900=12$ minutes.
So, we express it for 15 hours and 12 minutes.

Note: The relation between expression in decimal and mixed units should be understood carefully. Both of them are correct. The most convenient one is the decimal one and used in all cases.