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Races & Games · Question 63 of 73

Question 63

MediumOriginal question

A completes a lap in 6 minutes and B in 9 minutes, running the same way from the same point. After how many minutes does A first overtake B?

Options for question 63

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. A gains 16−19=118\frac{1}{6} - \frac{1}{9} = \frac{1}{18} of a lap a minute.

  2. A full lap's gain takes 18 minutes.

Worth noting

185\frac{18}{5} minutes adds the rates, which is for running opposite ways.

Concept
Meeting from lap times
Typical time
90 s
Your time
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The rule this testsCircular tracks
Practise this chapter →

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

Practise this chapter →

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