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Verified Answer :

180 minutes or 3 hours

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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