a) 5.4
b) 4.5 m
c) 5 m
d) 6 m
Answer: d
Explanation:
$$\eqalign{
& A:B = 100:90 \cr
& A:C = 100:87 \cr
& \frac{B}{C} = \frac{B}{A} \times \frac{A}{C} \cr
& \,\,\,\,\,\,\,\, = \frac{{90}}{{100}} \times \frac{{100}}{{87}} \cr
& \,\,\,\,\,\,\,\, = \frac{{30}}{{29}} \cr} $$
When B runs180m, C runs $$ \left( {\frac{{29}}{{30}} \times 180} \right){\text{m}} = 174{\text{m}}$$
B beats C by (180 – 174) m = 6 m
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