11. It takes 10 hours to type 4 reports. How long will it take to type 15 reports?
A. 5 hours, 30 minutes
B. 6 hours
C. 37 hours, 30 minutes
D. 60 hours
Final Answer: \(\boxed{C. 37 hours, 30 minutes}\)
Step 1 :The problem is asking for the time it will take to type 15 reports given that it takes 10 hours to type 4 reports. This is a problem of proportionality.
Step 2 :We can set up a proportion to solve this problem. The proportion is 4 reports : 10 hours = 15 reports : x hours.
Step 3 :We can solve for x to find the time it will take to type 15 reports.
Step 4 :Let's denote the number of reports as 'reports', the time it takes to type these reports as 'time', the target number of reports as 'target_reports', and the target time as 'target_time'.
Step 5 :Given that 'reports' = 4, 'time' = 10, and 'target_reports' = 15, we can calculate 'target_time'.
Step 6 :The calculation gives us that 'target_time' = 37.5. This means it will take 37.5 hours to type 15 reports.
Step 7 :This matches with option C in the original question, which is 37 hours and 30 minutes.
Step 8 :Final Answer: \(\boxed{C. 37 hours, 30 minutes}\)