a) $$4\frac{3}{4}$$ km
b) $$3\frac{1}{2}$$ km
c) $$4\frac{1}{4}$$ km
d) $$3\frac{3}{4}$$ km
Answer: d
Explanation: Let the distance of the station from the house of the person = x km
$$\eqalign{
& {\text{Difference}}\,{\text{of}}\,{\text{time}} \cr
& = 8 + 7 \cr
& = 15\,{\text{minutes}} \cr
& = \frac{1}{4}\,hr \cr
& {\text{Time}} = \frac{{{\text{Distance}}}}{{{\text{Speed}}}} \cr
& \frac{x}{6} – \frac{x}{{10}} = \frac{1}{4} \cr
& \frac{{10x – 6x}}{{60}} = \frac{1}{4} \cr
& \frac{{2x}}{{30}} = \frac{1}{4} \cr
& \Rightarrow x = \frac{{15}}{4} = 3\frac{3}{4}km \cr} $$
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