Answer :
Final answer:
For the first sub-question, it will take 45 days to complete the work with 10 men. For the second sub-question, the engineer will complete approximately 133 lines of code after an hour.
Explanation:
For sub-question 1, we can use the concept of man-days to solve this problem. Initially, the work was assigned to 15 men who could complete it in 30 days. So, in total, they would take 15 x 30 = 450 man-days to complete the work. But then, 5 men were sent to another project, leaving only 10 men for the current project. To find how many days they will take to complete the work, we can use the formula: (Initial man-days) / (Current men) = (Current days). Substituting the values, we have: 450 / 10 = 45 days. Therefore, it will now take 45 days to complete the work with 10 men.
For sub-question 2, we need to consider the engineer's work pattern. Every hour, the engineer works for 60 minutes. In this time, he spends 15 minutes on breaks, leaving him with 45 minutes of actual work. In those 45 minutes, he can complete 100 lines of code. So, to find how many lines of code he will complete in 60 minutes, we can use the ratio: (Lines of code in 45 minutes) / (Time in 45 minutes) = (Lines of code in 60 minutes) / (Time in 60 minutes). Substituting the values, we have: (100/45) x 60 = 133.33 lines of code. Therefore, the engineer will complete approximately 133 lines of code after an hour.
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