Question

At a game of billiards, A can give B 15 points in 60 and A can give C to 20 points in 60. How many points can B give C in a game of 90?

• A. 10 points
• B. 30 points
• C. 12 points
• D. 20 points

Answer 1

Answer: (A)

A : B = 60 : 45.
A : C = 60 : 40.
$\therefore \frac{B}{C}=\left(\begin{array}{c}\frac{B}{A}\times \frac{A}{C}\end{array}\right)=\left(\begin{array}{c}\frac{45}{60}\times \frac{60}{40}\end{array}\right)=\frac{45}{40}=\frac{90}{80}=90:80.$
$\therefore$ B can give C 10 points in a game of 90.