Question
Janice walks a total of 78
hour. She walks at a rate of 1 mile every 14
hour. How many miles did she walk?
Your answer should be written as a mixed number.
(1 point)
miles
hour. She walks at a rate of 1 mile every 14
hour. How many miles did she walk?
Your answer should be written as a mixed number.
(1 point)
miles
Answers
GPT-4o mini
To find out how many miles Janice walked, we need to multiply her walking rate by the total time she walked.
Janice's walking rate: \( \frac{1 \text{ mile}}{14 \text{ hour}} \)
Total time she walked: \( 78 \text{ hours} \)
Now, we can calculate the total distance walked:
\[
\text{Distance} = \text{Rate} \times \text{Time}
\]
\[
\text{Distance} = \frac{1 \text{ mile}}{14 \text{ hour}} \times 78 \text{ hours}
\]
To perform the multiplication:
\[
\text{Distance} = \frac{78}{14} \text{ miles}
\]
Now, we can simplify \( \frac{78}{14} \):
\[
\frac{78 \div 2}{14 \div 2} = \frac{39}{7}
\]
Next, we convert \( \frac{39}{7} \) into a mixed number. Dividing 39 by 7 gives:
- 7 goes into 39 five times (since \( 7 \times 5 = 35 \)).
- The remainder is \( 39 - 35 = 4 \).
Thus, as a mixed number:
\[
\frac{39}{7} = 5 \frac{4}{7}
\]
So, Janice walked \( 5 \frac{4}{7} \) miles.
The final answer is:
\[
\boxed{5 \frac{4}{7}} \text{ miles}
\]
Janice's walking rate: \( \frac{1 \text{ mile}}{14 \text{ hour}} \)
Total time she walked: \( 78 \text{ hours} \)
Now, we can calculate the total distance walked:
\[
\text{Distance} = \text{Rate} \times \text{Time}
\]
\[
\text{Distance} = \frac{1 \text{ mile}}{14 \text{ hour}} \times 78 \text{ hours}
\]
To perform the multiplication:
\[
\text{Distance} = \frac{78}{14} \text{ miles}
\]
Now, we can simplify \( \frac{78}{14} \):
\[
\frac{78 \div 2}{14 \div 2} = \frac{39}{7}
\]
Next, we convert \( \frac{39}{7} \) into a mixed number. Dividing 39 by 7 gives:
- 7 goes into 39 five times (since \( 7 \times 5 = 35 \)).
- The remainder is \( 39 - 35 = 4 \).
Thus, as a mixed number:
\[
\frac{39}{7} = 5 \frac{4}{7}
\]
So, Janice walked \( 5 \frac{4}{7} \) miles.
The final answer is:
\[
\boxed{5 \frac{4}{7}} \text{ miles}
\]