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Divide 13 h 1 min 30 s by 6...

Divide 13 h 1 min 30 s by 6

A

2 h 1 min 10 s

B

2 h 15 min 10 s

C

2 h 10 min 15 s

D

2 h 12 min 20 s

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of dividing 13 hours, 1 minute, and 30 seconds by 6, we can follow these steps: ### Step 1: Convert the time into seconds First, we need to convert the entire time into seconds for easier division. - **Convert hours to seconds**: \[ 13 \text{ hours} = 13 \times 3600 \text{ seconds} = 46800 \text{ seconds} \] - **Convert minutes to seconds**: \[ 1 \text{ minute} = 1 \times 60 \text{ seconds} = 60 \text{ seconds} \] - **Add the seconds**: \[ 30 \text{ seconds} = 30 \text{ seconds} \] Now, we can sum all these values: \[ 46800 + 60 + 30 = 46890 \text{ seconds} \] ### Step 2: Divide the total seconds by 6 Now we divide the total seconds by 6: \[ \frac{46890}{6} = 7815 \text{ seconds} \] ### Step 3: Convert seconds back to hours, minutes, and seconds Next, we need to convert 7815 seconds back into hours, minutes, and seconds. - **Calculate hours**: \[ 7815 \div 3600 = 2 \text{ hours} \quad (\text{since } 2 \times 3600 = 7200 \text{ seconds}) \] - **Calculate remaining seconds**: \[ 7815 - 7200 = 615 \text{ seconds} \] - **Calculate minutes**: \[ 615 \div 60 = 10 \text{ minutes} \quad (\text{since } 10 \times 60 = 600 \text{ seconds}) \] - **Calculate remaining seconds**: \[ 615 - 600 = 15 \text{ seconds} \] ### Final Result Putting it all together, we have: \[ \text{Final result} = 2 \text{ hours}, 10 \text{ minutes}, 15 \text{ seconds} \] Thus, the answer to the question is: \[ \boxed{2 \text{ hours}, 10 \text{ minutes}, 15 \text{ seconds}} \] ---
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