A) 12km
B) 6km
C) 3km
D) 24km
Correct Answer: D
Solution :
Let the distance of the house from the school be x km. Then, \[\frac{x}{9}\,-\frac{1}{3}\,=\frac{x}{12}+\frac{1}{3}\Rightarrow \,\frac{x}{9}\,-\frac{x}{12}=\frac{1}{3}+\frac{1}{3}\,=\frac{2}{3}\] \[\Rightarrow \,\frac{4x-3x}{36}\,=\frac{2}{3}\Rightarrow \,\frac{x}{36}\,=\frac{2}{3}\] \[\Rightarrow \,\,x=\left( \frac{2}{3}\times 36 \right)\,km=24\,km\].
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