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Races & Games · Question 26 of 73

A gives C a 100 m start in a 1,000 m race.

Question 26

HardOriginal question

In a 1,000 m race A beats B by 100 m, and in another 1,000 m race B beats C by 50 m. The runners keep the same speeds in every race.

A gives C a 100 m start in a 1,000 m race. By how many metres does A still win?

Options for question 26

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. C has 900 m to run. In the time A runs 1,000 m, C runs 855 m.

  2. C is still 900−855=45900 - 855 = 45 m short when A finishes.

Worth noting

50 m takes the start from the added margins, 150−100150 - 100; the true margin is 145 m.

Concept
A race with a start
Typical time
150 s
Your time
—
The rule this testsBeating by a distance or a time
Practise this chapter →

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

Practise this chapter →

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