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Races & Games · Question 53 of 73

Question 53

HardOriginal question

In a game of 60, A can give B 10 points, and in a game of 75, B can give C 15 points. How many points can A give C in a game of 90?

Options for question 53

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. A : B = 60 : 50 = 6 : 5 and B : C = 75 : 60 = 5 : 4, so A : C = 6 : 4 = 3 : 2.

  2. When A scores 90, C scores 23×90=60\frac{2}{3} \times 90 = 60: A can give C 30 points.

Worth noting

25 adds the 10 and 15 points given, which belong to games of different lengths.

Concept
Chaining two games
Typical time
120 s
Your time
—
The rule this testsGames of points
Practise this chapter →

Ten questions from Races & Games, at your own pace.

Practise this chapter →

Ten questions from Races & Games, at your own pace.