In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by:

122.75 m
225 m
319.5 m
47 ⁴/₇ m

Answer:- 1

Explanation:-

Solution:

\begin{aligned} A : B = 200 : 169 \\ A : C = 200 : 182 \\ \frac{C}{B} = (\frac{C}{A} \times \frac{A}{B}) = (\frac{182}{200} \times \frac{200}{169}) = 182 : 169 \\ W h e n C covers 182 m, B covers 169 m \\ W h e n C covers 350 m, B c o v e r s (\frac{169}{182} \times 350) m = 325 m \\ T h e r e f o r e, C b e a t s B b y (350 - 325) m \\ = 25 m \end{aligned}

$\eqalign{ & A:B = 200:169 \cr & A:C = 200:182 \cr & \frac{C}{B} = \left( {\frac{C}{A} \times \frac{A}{B}} \right) = \left( {\frac{{182}}{{200}} \times \frac{{200}}{{169}}} \right) = 182:169 \cr & When\,C\,\operatorname{covers} \,182m,\,B\,\operatorname{covers} \,169m \cr & When\,C\,\operatorname{covers} \,350m,\,B\,covers\left( {\frac{{169}}{{182}} \times 350} \right)m = 325m \cr & Therefore,\,C\,beats\,B\,by\,\left( {350 - 325} \right)m \cr & = 25m \cr}$