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Question

Sunita travelled $$15\ km\ 268\ m$$ by bus, $$7\ km\ 7\ m$$ by car and $$500\ m$$ on foot in order to reach her school. how far is her school from her residence?

Solution
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Distance travelled by bus
$$15\ km\ 268\ m = 15\ km + 268\ m$$
$$15\ km + \dfrac {268}{1000}km$$
$$15\ km + 0.268\ km$$ $$[\because 1\ m = \dfrac {1}{1000}km]$$
$$(15 + 0.268)\ km = 15.268\ km$$
Distance travelled by car
$$7\ km\ 7\ m = 7\ km +7\ m$$
$$7\ km + \dfrac {7}{1000}km$$
$$7\ km + 0.007\ km$$ $$[\because 1\ m= \dfrac {1}{1000}km]$$
$$(7 + 0.007)\ km = 7.007\ km$$
Distance travelled by foot
$$500\ m = \dfrac {500}{1000}km = 0.500\ km$$ $$[\because 1\ m = \dfrac {1}{1000}km]$$
$$\therefore$$ Distance of school from residence
$$15.268\ km + 7.007\ km + 0.500\ km$$ $$=22.775\ km$$

$$\begin{matrix} & 1 & & & & 1 & & \\ & 1 & 5 & \cdot & 2 & 6 & 8 & km \\ + & & 7 & \cdot & 0 & 0 & 7 & km \\ + & & 0 & \cdot & 5 & 0 & 0 & km \\ = & 2 & 2 & \cdot & 7 & 7 & 5 & km \end{matrix}$$

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