Question

If a shop is open for business from 10:00 in the morning to 4:30 in the evening then how long is it open?

Answer 1

Hint: We will first find the duration of time from 10:00 AM to 12:00PM. Then, we will determine the duration from 12:00PM from 4:00PM. Next, we will find the duration from 4:00PM to 4:30PM. Then, add all the duration from 10:00 AM from 4:30 PM to get the required answer. We break the total time in intervals to find the duration as it avoids difficult calculations.

Complete step-by-step answer:
If the shop is open at 10:00 in the morning, this implies the time at which the shop opens is 10:00 AM.
Also, the shop is closed at 4:30 in the evening, then the closing time of the business is 4:30 PM.
First of all, we will find the duration from 10:00 AM to 12:00 AM.
The duration from 10:00 AM to 12:00 PM is 2 hours.
Also, the duration from 12:00PM to 4:00 PM is 4 hours.
But, we have to find till 4:30 PM, which will include 30 minutes more after 4:00PM
Now, we will add all the duration of time from 10:00 AM from 4:30 PM
$\left( {2 + 4} \right){\text{hours}} + 30{\text{minutes}} = 6{\text{hours30minutes}}$
Hence, the total time the shop is opened is 6 hours 30 minutes.

Note: Since, we know that there are 60 minutes in one hour, we can then easily find the number of hours in 30 minutes. We will divide 30 by 60 to find the number of hours, that is $\dfrac{{30}}{{60}} = \dfrac{1}{2}$ hour.
Hence, we can also write the final answer 6 hours 30 minutes as $6\dfrac{1}{2}{\text{hours}}$.