Question

If you increase your work and decrease your time, you will haveA. more power.less power.the same amount of power.power rating can not be determined

Answer 1

You will have the same amount of power.

One way to look at this is:
If you work for 10hours at a normal rate (which we’ll call one) then 10x1 is 10. Your power is still at 10

If you work for 5 hours, but twice as hard, then you do 5x2 which is ten. The amount of power is always the same

Answer 2

If you increase your work and decrease your time, you will have A. more power.

Power (P) is the rate at which work is done. In the International System of Units, the unit of power is the Watt, equal to one joule per second. Mathematically, it is equal to work (W) divided by time (t).

$P = \frac{W}{t}$

If you increase your work, you increase the numerator in the expression above. If you decrease your time, you decrease the denominator in the expression above. They both have the same consequence that is an increase in power, that is, more work done in less time.

If you increase your work and decrease your time, you will have A. more power.

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