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:
22.75 m
25 m
19.5 m
7$ \dfrac{4}{7} $m
Explanation:
A : B = 200 : 169.
A : C = 200 : 182.
$ \dfrac{C}{B} $=$ \left(\dfrac{C}{A} \times\dfrac{A}{B} \right) $=$ \left(\dfrac{182}{200} \times\dfrac{200}{169} \right) $= 182 : 169.
When C covers 182 m, B covers 169 m.
When C covers 350 m, B covers$ \left(\dfrac{169}{182} \times 350\right) $m= 325 m.
Therefore, C beats B by $\left(350 - 325\right)$ m = 25 m.