Running the same way, at how many different…

Running the same way, at how many different points of the track do they meet?

Question 72

HardOriginal question

A and B run round a 400 m circular track from the same point at the same moment, A at 5 m/s and B at 3 m/s.

Running the same way, at how many different points of the track do they meet?

1

Correct answerYour answer

2

Correct answerYour answer

3

Correct answerYour answer

8

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

They meet every 200 s, when A has run 1,000 m, two and a half laps.
So the meetings alternate between the far side and the start: 2 points, which is $5 - 3$ .

Worth noting

8 is $5 + 3$ , the count for opposite directions.

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

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