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Puzzle 3: Can you solve this brain teaser?

AifeAife Community Manager Posts: 3,032 Boards Guru
edited July 2023 in General Chat
Puzzle 3! Can you solve this next brain teaser?

For some context on what these brain teasers are all about, the government said up to 234,000 roles requiring hard data skills will be needed in the coming years by UK companies. Experian, a company that deals with information about money and how people use it, has designed three ‘hard data’ puzzles to challenge your skills! We thought it would be fun to share them here!

Comment below if you manage to solve the puzzle!

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Puzzle 3: The St James’s Park Duck Pond
Scenario
A group of data scientists visit St James’s Park and spot a beautiful circular pond with a circumference of 100 metres.

A family of ducks is swimming around the pond, starting from the same point. The father duck takes 30 seconds to complete one full lap, the mother duck takes 40 seconds, and the baby duck takes 60 seconds.

Question
After how many seconds will all three ducks be back at the starting point simultaneously?

Hint
Think about the least common multiple (LCM) of the times it takes for each duck to complete one full lap.

Good luck! I'll share the answers here next week :)
Maybe somethings don't get better, but we do. We get stronger. We learn to live with our situations as messy and ugly as they are. We fix what we can and we adapt to what we can't. Maybe some of us will never fully be okay, but at least we're here. We're still trying. We're doing the best we can. That's worth celebrating too ❤

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    AifeAife Community Manager Posts: 3,032 Boards Guru
    I'm very impressed with your maths and how quickly you worked through all the puzzles! Will let you know the answers next week :)
    Maybe somethings don't get better, but we do. We get stronger. We learn to live with our situations as messy and ugly as they are. We fix what we can and we adapt to what we can't. Maybe some of us will never fully be okay, but at least we're here. We're still trying. We're doing the best we can. That's worth celebrating too ❤
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    AifeAife Community Manager Posts: 3,032 Boards Guru
    You were right @Morgyn007! Here's the answer below:
    Puzzle 3: The St James’s Park Duck Pond

    To find the answer, we need to calculate the least common multiple (LCM) of the times it takes for each duck to complete one full lap. In this case, the LCM of 30, 40 and 60 is 120 seconds. Therefore, all three ducks will be back at the starting point simultaneously after 120 seconds
    Maybe somethings don't get better, but we do. We get stronger. We learn to live with our situations as messy and ugly as they are. We fix what we can and we adapt to what we can't. Maybe some of us will never fully be okay, but at least we're here. We're still trying. We're doing the best we can. That's worth celebrating too ❤
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