Answer:
work = power × time,
time = work ÷ power
Explanation:
we can write the original relationship as:
[tex]P=\frac{W}{t}[/tex]
where P is the power, W is the work, and t is the time.
First of all, we can rewrite the equation by isolating W, as follows:
[tex]P=\frac{W}{t}\\P \cdot t = \frac{W}{t} \cdot t = W\\W=P\cdot t[/tex]
which corresponds to
work = power × time,
And then, we can re-write it as
[tex]W=P \cdot t\\\frac{W}{P} = \frac{P\cdot t}{P}=t\\t = W \cdot P[/tex]
which corresponds to
time = work ÷ power
