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Mathematics

Nidhi's house is 19101\dfrac{9}{10} km from her school. She walked some distance and then took a bus for 1121\dfrac{1}{2} km to reach the school. How far did she walk?

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Answer

Total distance from house to school = 19101\dfrac{9}{10} km.

Distance travelled by bus = 1121\dfrac{1}{2} km.

Distance walked = 1910−1121\dfrac{9}{10} - 1\dfrac{1}{2}

LCM of 10 and 2 = 10.

⇒1910−32⇒1910−3×52×5⇒1910−1510⇒19−1510⇒410⇒25 km\Rightarrow \dfrac{19}{10} - \dfrac{3}{2}\\[1em] \Rightarrow \dfrac{19}{10} - \dfrac{3 \times 5}{2 \times 5}\\[1em] \Rightarrow \dfrac{19}{10} - \dfrac{15}{10}\\[1em] \Rightarrow \dfrac{19 - 15}{10}\\[1em] \Rightarrow \dfrac{4}{10}\\[1em] \Rightarrow \dfrac{2}{5} \text{ km}

Hence, Nidhi walked 25\dfrac{2}{5} km.

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