Question

Sunita travelled $15km268m$ by bus, $7km7m$ by car and $500m$ on foot in order to reach her school. How far is her school from her residence?

Answer 1

Step 1: Convert the distance covered into kilometers

It is known that $1km=1000m$.

Distance traveled by bus is $15km268m=\left(15+\frac{268}{1000}\right)km$.

$$\begin{gathered} \Rightarrow 15km268m=\left(15+0.268\right)km \\ \Rightarrow 15km268m=15.268km \end{gathered}$$

Distance traveled by car is $7km7m=\left(7+\frac{7}{1000}\right)km$.

$$\begin{gathered} \Rightarrow 7km7m=\left(7+0.007\right)km \\ \Rightarrow 7km7m=7.007km \end{gathered}$$

Distance traveled by bus is $500m=\left(\frac{500}{1000}\right)km$.

$\Rightarrow 500m=0.5km$

Step 2: Calculate the total distance covered

The total distance can be determined by, $\left(15.268+7.007+0.5\right)km=22.775km$.

$$\begin{gathered} \Rightarrow 22.775km=22km\left(0.775\times 1000\right)m \\ \Rightarrow 22.775km=22km775m \end{gathered}$$

Hence, the distance between school and residence is $22km775m$.