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 [tex]6[/tex] papers [tex]=\frac{3}{5}\text{hours}[/tex]
Time taken by Juwana to correct [tex]1[/tex] paper [tex]=\frac{\frac{3}{5}}{6}\text{hours}[/tex]
[tex]\frac{3}{30}[/tex] [tex]\text{hours}[/tex]
[tex]\frac{1}{10}\text{hours}[/tex]
let number of paper to be correct by Juwana [tex]=\text{x}[/tex]
time taken by Professor Juwana to correct [tex]\text{x}[/tex] papers
[tex]=\frac{1}{10}\text{x}[/tex]
Total number of papers to be corrected [tex]=30[/tex]
[tex]=30\times\frac{1}{10}[/tex]
[tex]3[/tex] [tex]\text{hours}[/tex]
Professor Juwana will take [tex]3[/tex] [tex]\text{hours}[/tex] to correct [tex]30[/tex] papers
