Final answer:
To do 4 times the work in one-fourth the time, the power output must have been 16 times the power output yesterday.
Step-by-step explanation:
To calculate power output, we can use the formula:
Power = Work / Time
In this case, the work done is 4 times the work done yesterday, so we can use 4 times the work done yesterday as the numerator of the power formula. The time taken to do this work is one-fourth of the time taken yesterday, so we can use one-fourth of the time taken yesterday as the denominator of the power formula.
Power = (4 times the work done yesterday) / (one-fourth of the time taken yesterday)
Simplifying this equation, we get:
Power = 16 times the work done yesterday
Therefore, to do 4 times the work in one-fourth the time, the power output must have been 16 times the power output yesterday.