Matthews Riley
07/22/2023 · Junior High School
A turtle walked \( \frac{1}{2} \) mile at the rate of \( \frac{1}{5} \) mile per hour. How. long did it take?
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Step-by-step Solution
To find out how long it took the turtle to walk \( \frac{1}{2} \) mile at a rate of \( \frac{1}{5} \) mile per hour, we can use the formula for time:
\[
\text{Time} = \frac{\text{Distance}}{\text{Rate}}
\]
In this case, the distance is \( \frac{1}{2} \) mile and the rate is \( \frac{1}{5} \) mile per hour. Plugging in these values, we get:
\[
\text{Time} = \frac{\frac{1}{2}}{\frac{1}{5}}
\]
To divide by a fraction, we multiply by its reciprocal:
\[
\text{Time} = \frac{1}{2} \times \frac{5}{1} = \frac{5}{2} \text{ hours}
\]
Now, we can convert \( \frac{5}{2} \) hours into a more understandable format.
\[
\frac{5}{2} \text{ hours} = 2.5 \text{ hours}
\]
Thus, it took the turtle \( 2.5 \) hours to walk \( \frac{1}{2} \) mile.
Quick Answer
It took the turtle 2.5 hours to walk \( \frac{1}{2} \) mile.
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