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Races & Games · Question 62 of 73

Question 62

MediumOriginal question

A completes a lap in 40 seconds and B in 56 seconds. They start together from the starting point. After how many seconds are they next at the starting point together?

Options for question 62

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Each is at the start after a whole number of its laps: A at multiples of 40, B at multiples of 56.

  2. The first common time is LCM(40,56)=280\text{LCM}(40, 56) = 280 seconds.

Worth noting

2,240 is 40×5640 \times 56, a common multiple but not the least.

Concept
Meeting at the starting point
Typical time
90 s
Your time
—
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.