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The number of minutes in 15 days is equa...

The number of minutes in 15 days is equal to the number of seconds in

A

6h

B

8h

C

4 h

D

5 h

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to find out how many minutes are in 15 days and then equate that to the number of seconds in a certain number of hours. ### Step-by-Step Solution: 1. **Calculate the number of minutes in 15 days:** - We know that there are 24 hours in a day. - Therefore, in 15 days, the total number of hours is: \[ 15 \text{ days} \times 24 \text{ hours/day} = 360 \text{ hours} \] - Next, we need to convert hours into minutes. Since there are 60 minutes in an hour: \[ 360 \text{ hours} \times 60 \text{ minutes/hour} = 21600 \text{ minutes} \] 2. **Set up the equation for seconds in hours:** - We need to find how many hours correspond to 21600 minutes in terms of seconds. - We know that there are 60 seconds in a minute, so the total number of seconds in \( h \) hours is: \[ h \text{ hours} \times 60 \text{ minutes/hour} \times 60 \text{ seconds/minute} = 3600h \text{ seconds} \] 3. **Equate the two quantities:** - Now, we set the number of minutes in 15 days equal to the number of seconds in \( h \) hours: \[ 21600 = 3600h \] 4. **Solve for \( h \):** - To find \( h \), divide both sides of the equation by 3600: \[ h = \frac{21600}{3600} \] - Simplifying this gives: \[ h = 6 \] ### Conclusion: The number of seconds in 6 hours is equal to the number of minutes in 15 days.
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