Answer: the power required to do the same work in 1 hour is 30 j/h
Step-by-step explanation:
If two variables vary inversely, an increase in one of the variables causes a decrease in the other variable and vice versa.
The power P required to do a fixed amount of work varies inversely as the time t. If we introduce a constant of variation, k, the expression would be
P = k/t
If a power of 15 J/h is required to do a fixed amount of work in 2 hours, it means that
15 = k/2
k = 15 × 2 = 30
The equation becomes
P = 30/t
Therefore, the power required to do the same work in 1 hour is
P = 30/1 = 30 j/h
