Problem

If it takes a crew of 5 workers 14 hours to clean up a jobsite how long will it take 7 workers to clean the same site? (4 marks)

Answer

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Answer

\(\boxed{10}\) hours is the time it will take for 7 workers to clean the same site.

Steps

Step 1 ：Let the work done by 1 worker in 1 hour be \(x\). So, the work done by 5 workers in 14 hours is \(5 \times 14x = 70x\).

Step 2 ：Since the work done remains the same, the work done by 7 workers in \(t\) hours is \(7 \times tx = 7tx\).

Step 3 ：Equating the work done, we get \(70x = 7tx\).

Step 4 ：Solving for \(t\), we get \(t = \frac{70x}{7x} = 10\).

Step 5 ：\(\boxed{10}\) hours is the time it will take for 7 workers to clean the same site.

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