The time taken to clean a warehouse varies inversely with the number of cleaners employed - HSC - SSCE Mathematics Standard - Question 13 - 2021 - Paper 1

Let the time taken to clean the warehouse be denoted as T and the number of cleaners as N. According to the problem, the relationship can be represented as:

$T = k \cdot \frac{1}{N}$

where k is a constant. With 8 cleaners taking 60 hours, we can find k:

$60 = k \cdot \frac{1}{8} \implies k = 60 \cdot 8 = 480$.