Final answer:
Calculating Serge's work rate per hour (5/12) shows that none of the provided options exactly match how much of the report he completes in 1 hour. The closest given option is 1/2, but it is not accurate, suggesting a potential error in the question's options.
Step-by-step explanation:
To determine how much of the report Serge can complete in 1 hour, we can use the information that he completed 1/3 of his report in 4/5 of an hour. First, we need to find the rate at which Serge is working per hour. We do this by dividing the fraction of the report completed by the fraction of the hour spent:
(1/3) / (4/5) = (1/3) * (5/4) = 5/12
This calculation tells us that in one hour, Serge completes 5/12 of his report, since (1/3) divided by (4/5) is the same as (1/3) multiplied by the reciprocal of (4/5). Therefore, we can conclude that in one full hour, Serge would complete 5/12 of the report, which is not one of the options given. It appears there is a mistake in the question options because based on the calculations, the correct answer is not listed. The closest option would be D) 1/2 of the report, but this is still not accurate. Hence, with the given options, there's no correct answer.