a) 22.75 m
b) 25 m
c) 19.5 m
d) $$7\frac{4}{7}$$ m
Answer: b
Explanation:
$$\eqalign{
& A:B = 200:169 \cr
& A:C = 200:182 \cr
& \frac{C}{B} = {\frac{C}{A} \times \frac{A}{B}} \cr
& \,\,\,\,\,\,\,\, = {\frac{{182}}{{200}} \times \frac{{200}}{{169}}} \cr
& \,\,\,\,\,\,\,\, = 182:169 \cr} $$
When C covers 182 m, B covers 169 m
When C covers 350 m, B covers $$\left( {\frac{{169}}{{182}} \times 350} \right){\text{m}} = 325{\text{m}}$$
C beats B by (350 – 325) m = 25 m
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