Question

If an event starts at $9:45$ a.m. and ends at $12:12$ p.m., find the duration of the event.

• A. $3\text{h and}27\text{min}$
• B. $2\text{h and}7\text{min}$
• C. $3\text{h and}37\text{min}$
• D. $2\text{h and}27\text{min}$

Answer 1

The correct option is D $2\text{h and}27\text{min}$

Given, the event starts at $9:45$ a.m. and ends at $12:12$ p.m.

Let’s jump by an hour from $9:45$ a.m.
So, we land at $10:45$ a.m.

Taking another jump of an hour from $10:45$ a.m., we will land at $11:45$ a.m.

Taking another jump of an hour from $11:45$ p.m., we will land at $12:45.$
Since $12:45$ is a time after 12 noon, we will use p.m. So, the time will be $12:45$ p.m.
Since $12:45$ p.m. is beyond the end time, i.e., $12:12$ p.m., we will not jump by an hour now.

Instead, we will jump by $15$ minutes from $11:45$ p.m.
So, we land at $12:00$ p.m.

Now, we need a jump of $12$ minutes to reach $12:12$ p.m.



So, the time duration between $9:45$ a.m. and $12:12$ p.m. $=1h+1h+15$ min $+12$ min
$=2$ hours and $27$ minutes