The number of seconds in 5 h equals to the number of minutes in

Options

A. 11 days
B. `11(1)/(2)` days
C. 12 days
D. `12(1)/(2)` days

Answer

To solve the problem of finding how many days correspond to the number of seconds in 5 hours, we can follow these steps:

### Step-by-Step Solution:

1. **Calculate the number of seconds in one hour.**
- We know that there are 60 minutes in an hour and 60 seconds in a minute.
- Therefore, the number of seconds in one hour is:
\[ 1 \text{ hour} = 60 \text{ minutes} \times 60 \text{ seconds/minute} = 3600 \text{ seconds} \]

2. **Calculate the number of seconds in 5 hours.**
- Now, we multiply the number of seconds in one hour by 5 to find the total seconds in 5 hours:
\[ 5 \text{ hours} = 5 \times 3600 \text{ seconds} = 18000 \text{ seconds} \]

3. **Convert seconds to minutes.**
- We need to find out how many minutes are equivalent to 18000 seconds. Since there are 60 seconds in a minute, we can convert seconds to minutes by dividing by 60:
\[ \text{Minutes} = \frac{18000 \text{ seconds}}{60 \text{ seconds/minute}} = 300 \text{ minutes} \]

4. **Convert minutes to days.**
- We know that there are 1440 minutes in a day (24 hours × 60 minutes/hour). To find out how many days are in 300 minutes, we divide by 1440:
\[ \text{Days} = \frac{300 \text{ minutes}}{1440 \text{ minutes/day}} = \frac{300}{1440} = \frac{5}{24} \text{ days} \]

5. **Final Result:**
- The number of days in 300 minutes is \(\frac{5}{24}\) days.

### Summary:
- The number of seconds in 5 hours is 18000 seconds.
- This is equivalent to 300 minutes.
- Therefore, 300 minutes is equal to \(\frac{5}{24}\) days.