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On Monday, 12 people took 5 hours to clean a number of cars - Edexcel - GCSE Maths - Question 10 - 2021 - Paper 3

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On Monday, 12 people took 5 hours to clean a number of cars. On Tuesday, 15 people cleaned the same number of cars. Assuming that all the people worked at the same ... show full transcript

Worked Solution & Example Answer:On Monday, 12 people took 5 hours to clean a number of cars - Edexcel - GCSE Maths - Question 10 - 2021 - Paper 3

Step 1

a) work out how many hours the 15 people took to clean the cars.

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Answer

To determine how the assumption affects the time taken for the 15 people to clean the cars, we need to analyze the situation.

  1. The assumption made suggests that people work at the same rate continuously regardless of the number of individuals working.
  2. However, if more people are working, it could imply that there might be factors such as crowding, less efficient coordination, or potential variability in work speed.

As a result, the time taken may actually:

  • Take more time due to the inefficiencies mentioned.
  • Not necessarily scale linearly with the number of people; hence 15 people may not complete the task in proportionately less time.

In summary, while the linear calculation suggests less time, the reality may indicate that it would take more time due to the reasons mentioned.

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