Q:

On Monday, it took 5 builders 3 and a 1/2 hours to build a wall. An identical wall needs to be built on Tuesday but only 2 builders are available. Each builder is paid £9.30 for each hour or part of an hour they work. Work out how much each builder will be paid for the work completed by Tuesday.

Accepted Solution

A:
[tex]5 \text { builders =} 3 \dfrac{1}{2} \text { hours }[/tex]

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Find 1 worker :
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[tex]1 \text { builders =} 3 \dfrac{1}{2} \times 5 \text { hours }[/tex]

[tex]1 \text { builders =} \dfrac{35}{2} \text { hours }[/tex]

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Find 2 workers :
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[tex]2 \text { builders =} \dfrac{35}{2} \div 2 \text { hours }[/tex]

[tex]2 \text { builders =} \dfrac{35}{4} \text { hours }[/tex]

[tex]2 \text { builders =} 8.75 \text { hours }[/tex]

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Find cost of 1 worker :
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Since they are paid hourly or part of an hour at £9.30.

One builder = £9.30 x 9 = £83.70

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Answer: Each worker will be paid £83.70.
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