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Question

Namita travels $$20\ km\ 50\ m$$ every day. Out of this she travels $$10\ km\ 200\ m$$ by bus and the rest by auto. How much distance does she travels by auto?

Solution
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Distance traveled everyday
$$=20\ km\ 50\ m=20\ km +50\ m$$
$$=20\ km+\dfrac {50}{1000}km$$ $$\left[\because \dfrac {1}{1000}km =0.001\ km \right]$$
$$=20\ km+0.050\ km$$
$$=(20+0.050)km=20.050\ km$$
Distance traveled by bus
$$=10\ km\ 200\ m=10\ km+200\ m$$
$$=10\ km +\dfrac {200}{1000}km$$ $$\left[\because \dfrac {1}{1000}km =0.001\ km\right]$$
$$=10\ km +0.200\ km $$
$$=(10+0.200)km=10.200\ km$$
$$\therefore $$ Distance traveled by auto
$$=20.050\ km-10.200\ km=9.850\ km$$

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