Professor Juwana spent 3/5 of an hour correcting 6 papers. At this rate, how many hours will it take him to correct 30 papers?
Answer:
3 hours
Step-by-step explanation:
Given: Professor Juwana spent 3/5 of an hour correcting 6 papers.
To Find: At this rate, how many hours will it take him to correct 30 papers.
Solution:
Time taken by Juwana to correct \(6\) papers \(=\frac{3}{5}\text{hours}\)
Time taken by Juwana to correct \(1\) paper \(=\frac{\frac{3}{5}}{6}\text{hours}\)
\(\frac{3}{30}\) \(\text{hours}\)
\(\frac{1}{10}\text{hours}\)
let number of paper to be correct by Juwana \(=\text{x}\)
time taken by Professor Juwana to correct \(\text{x}\) papers
\(=\frac{1}{10}\text{x}\)
Total number of papers to be corrected \(=30\)
\(=30\times\frac{1}{10}\)
\(3\) \(\text{hours}\)
Professor Juwana will take \(3\) \(\text{hours}\) to correct \(30\) papers