Question

An Elephant runs 8/5 kilometers in 5/6 hours. What is its speed in terms of kilometers per hour?
48/25 kilometer per hour
8/5 kilometer per hour
4/3 kilometer per hour
28/25 kilometer per hour

Answer 1

To find the speed of the elephant in kilometers per hour (km/h), we can use the formula:

\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]

In this case, the distance is \( \frac{8}{5} \) kilometers and the time is \( \frac{5}{6} \) hours. Therefore:

\[
\text{Speed} = \frac{\frac{8}{5}}{\frac{5}{6}}
\]

To divide by a fraction, we multiply by its reciprocal:

\[
\text{Speed} = \frac{8}{5} \times \frac{6}{5} = \frac{8 \times 6}{5 \times 5} = \frac{48}{25} \text{ km/h}
\]

Thus, the speed of the elephant is \( \frac{48}{25} \) kilometers per hour.

The correct answer is:
\[
\frac{48}{25} \text{ kilometers per hour}
\]