The power P required to do a fixed amount of work varies inversely as the time t. If a power of 15 J/h is required to do a fixed amount of work in 2 hours, what is the power required to do the same work in 1 hour?

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

7.5

Step-by-step explanation:

if 2h = 15j/h

then 1h=1/2 * 15

=7.5