Question

A cheetah was observed running at a speed of 30.6 m/s. Use the following facts to convert this speed to kilometers per hour (km/h). 1 km = 1000 m 1 min = 60 sec 1 hour = 60 min Round your answer to the nearest tenth. Hint: It is best to wait to round until you have completed all the calculations.

Answer 1

Answer:

110.16km/hr.

Explanation:

The speed of the cheetah in m/s = 30.6

Now:

$\begin{gathered} 1\operatorname{km}=1000m \\ \implies1m=\frac{1}{1000}km \end{gathered}$

Next:

$\begin{gathered} 1\text{ hour = 60 minutes = 60 x 60 seconds} \\ 1\text{ hour = 3600 seconds} \\ \text{Therefore:} \\ 1\text{ second=}\frac{1}{3600}\text{ hour} \end{gathered}$

Therefore, 30.6 m/s in km/hr will be:

$\begin{gathered} =30.6\times\frac{\frac{1}{1000}}{\frac{1}{3600}} \\ =30.6\times\frac{1}{1000}\div\frac{1}{3600} \\ =30.6\times\frac{3600}{1000} \\ =30.6\times3.6 \\ =110.16\operatorname{km}\text{ per hr} \end{gathered}$

The speed of the cheetah in km/hr is 110.16km/hr.