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The number of days, d, that it will take to build a house is given by d = \frac{720}{n} where n is the number of workers used each day - Edexcel - GCSE Maths - Question 10 - 2019 - Paper 2

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The number of days, d, that it will take to build a house is given by d = \frac{720}{n} where n is the number of workers used each day. Ali's company will take 40... show full transcript

Worked Solution & Example Answer:The number of days, d, that it will take to build a house is given by d = \frac{720}{n} where n is the number of workers used each day - Edexcel - GCSE Maths - Question 10 - 2019 - Paper 2

Step 1

Calculate the number of workers in Ali's company

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Answer

Using the formula for the number of days:

d=720nd = \frac{720}{n}

For Ali's company:

40=720n40 = \frac{720}{n}

Rearranging gives:

n=72040=18n = \frac{720}{40} = 18

So, Ali's company uses 18 workers.

Step 2

Calculate the number of workers in Hayley's company

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Answer

For Hayley's company:

30=720m30 = \frac{720}{m}

Rearranging gives:

m=72030=24m = \frac{720}{30} = 24

So, Hayley's company uses 24 workers.

Step 3

Determine how many more workers Hayley's company uses than Ali's

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Answer

The difference in the number of workers used each day is:

mn=2418=6m - n = 24 - 18 = 6

Therefore, Hayley's company will use 6 more workers each day than Ali's company.

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