Kieron has 13 workers he can use for a job - Edexcel - GCSE Maths - Question 12 - 2022 - Paper 2

Now, we need to calculate how much work 13 workers can do in 1 day.

The rate of work done by 13 workers in one day is:

$\text{Rate of 13 workers} = \frac{13 \times 2W}{29} = \frac{26W}{29}$

In 7 days, the total work completed by 13 workers would be:

$\text{Total work in 7 days} = 7 \times \frac{26W}{29} = \frac{182W}{29}$

We need to compare this work done to the total work W. To check if Kieron has enough workers, we will determine if:

$\frac{182W}{29} \geq W$

Dividing both sides by W (assuming W > 0, which it is), we have:

$\frac{182}{29} \geq 1$

Calculating the left-hand side, we find:

$\frac{182}{29} \approx 6.276$

Since $6.276 > 1$, it follows that Kieron has enough workers to finish this job in less than 7 days.