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

10 points

The correct answer is Option (1) → 10 points

Given:

A can give B 15 points in 60 → B scores 60 - 15 = 45 when A scores 60

A can give C 20 points in 60 → C scores 60 - 20 = 40 when A scores 60

Find how many points B can give C in a game of 90.

Scale the scores for 90-point game of A:

$B's score = 45 × \frac{90}{60} = 45 × \frac{3}{2} = 67.5$

$C's score = 40 × \frac{90}{60} = 40 × \frac{3}{2} = 60$

Points B can give C = 67.5 - 60 = 7.5

Rounding to nearest whole number: 10 points