Question

In a $100$ m race, A can beat B by $25$ m and B can beat C $4$ m. In the same race, A can beat C by

• A. $21$ m
• B. $26$` m
• C. $28$ m
• D. $29$ m

Answer 1

Answer: (C)

$28$ m

$A:B=100:75$
$B:C=100:96.$
$A:C=\frac{A}{B}\times \frac{B}{C}=\frac{100}{75}\times \frac{100}{96}=\frac{100}{72}=100:72$

Therefore $A$ beats $C$ by $(100-72)m=28m$