Question

How to find time, $3\mathrm{hours}20\mathrm{minutes}$after $11:45A.M$

Answer 1

Step 1: Finding the time in $24\mathrm{Hour}$ format:

Given

$11:45A.M=11\mathrm{hours}45\mathrm{minutes}$

Now,

$$\begin{gathered} 11\mathrm{hours}45\mathrm{minutes}+3\mathrm{hours}20\mathrm{minutes}=14\mathrm{hours}65\mathrm{minutes} \\ \Rightarrow 11\mathrm{hours}45\mathrm{minutes}+3\mathrm{hours}20\mathrm{minutes}=15\mathrm{hours}05\mathrm{minutes}[\because 1\mathrm{hours}=60\mathrm{minutes}] \end{gathered}$$

Step 2: Find the time in $A.M/P.M$ format:

Now

$15\mathrm{hours}05\mathrm{minutes}=12\mathrm{hours}+3\mathrm{hours}05\mathrm{minutes}$

$\Rightarrow 15\mathrm{hours}05\mathrm{minutes}=3:05P.M$

Since after $12\mathrm{hour}$ we calculate it again from $0$ and after $11\mathrm{Hour}59\mathrm{minutes}59\mathrm{seconds}$ it is $P.M$.

We get $3:05P.M$

Hence, the time will be $3:05P.M$.