Question

A peregrine falcon can fly 322 kilometers per hour. How many meters per hour can the falcon fly?

Answer 1

Hint: We can solve this problem by simply converting the kilometers to meters. As we are given that the peregrine can fly 322 km in one hour. We just need to convert this to meters. The km and meter are units of measurement of distance. They are used in daily life for various purposes. Both of them can be used to calculate the distance depending on the purpose. We can also convert one unit of measurement to another unit of measurement according to our convenience.

Complete step-by-step solution:
We are given that the peregrine can fly 322 km in one hour. We just need to convert this to meters.
We know that both meter and kilometer are units of measurement of mass. We know the conversion formula from meter to km as 100 meter equals 1 kilometer. We will use this relation to convert the given mass in meters to mass in kilometers.
Given length is 322 km, as 1 kilometer equals 1000 meter. To convert the given distance in meter, we have to multiply it by the 1000, as follow
\[\begin{align}
  & \Rightarrow 322km=322\times 1000m \\
 & \Rightarrow 322km=322000m \\
\end{align}\]
Hence, the peregrine can fly 322000 meters in one hour.

Note: We can also find the conversion formula for meter to km using the above relationship. As follows,
We know that 1 km equals 1000 meter hence, \[1km=1000m\]. We want the conversion formula for meter to km, hence we have to make the 1-meter on one side of the above relation. Dividing both sides of the above conversion formula by 1000, we get
\[\Rightarrow \dfrac{\text{1km}}{\text{1000}}\text{=}\dfrac{\text{1000m}}{\text{1000}}\]
As units do not take part in the division of constants, the above equation can also be written as,
\[\Rightarrow \dfrac{\text{1}}{\text{1000}}\text{km=}\dfrac{\text{1000}}{\text{1000}}m\]
\[\Rightarrow \text{0}\text{.001km=1}m\]
Flipping the sides of the above conversion formula, we get
\[\Rightarrow \text{1}m=\text{0}\text{.001km}\]
Thus, we get the conversion formula for meter to km.