Question

how many hours would it take a bunny to travel 20 5/6 miles if a bunny travel 1 1/4 every hours

Answer 1

To find out how many hours it would take a bunny to travel 20 \( \frac{5}{6} \) miles if it travels at a rate of 1 \( \frac{1}{4} \) miles per hour, you can follow these steps:

1. **Convert the mixed numbers to improper fractions**:
- For 20 \( \frac{5}{6} \):
\[
20 \frac{5}{6} = \frac{20 \times 6 + 5}{6} = \frac{120 + 5}{6} = \frac{125}{6}
\]
- For 1 \( \frac{1}{4} \):
\[
1 \frac{1}{4} = \frac{1 \times 4 + 1}{4} = \frac{4 + 1}{4} = \frac{5}{4}
\]

2. **Now, divide the total distance by the rate of travel to find time**:
\[
\text{Time} = \frac{\text{Distance}}{\text{Rate}} = \frac{\frac{125}{6}}{\frac{5}{4}}
\]

3. **To divide by a fraction, multiply by its reciprocal**:
\[
\text{Time} = \frac{125}{6} \times \frac{4}{5} = \frac{125 \times 4}{6 \times 5} = \frac{500}{30}
\]

4. **Simplify the fraction**:
\[
\frac{500}{30} = \frac{50}{3}
\]

5. **Convert \( \frac{50}{3} \) to a mixed number**:
- Dividing 50 by 3 gives 16 with a remainder of 2, so:
\[
\frac{50}{3} = 16 \frac{2}{3}
\]

Thus, it would take the bunny **16 \( \frac{2}{3} \) hours** to travel 20 \( \frac{5}{6} \) miles.