A coding team of 4 people completes a software module in 12 days. After 4 days, one coder leaves. How many days will the rest take to complete it?
Correct answer: C. 11
- A. 9
- B. 10
- C. 11
- D. 12
Explanation
Initially, the team of 4 coders has a work rate of 1 module per 12 days, which means the team's combined work rate is 1/12 of a module per day. In 4 days, they complete 4/12 = 1/3 of the module, leaving 2/3 of the work remaining.After one coder leaves, only 3 coders remain. Their new work rate is 3/4 of the original work rate, or (3/4) * (1/12) = 1/16 of a module per day. To complete the remaining 2/3 of the module, they need (2/3) / (1/16) = 32/3 days, which is approximately 10.67 days. Since they cannot work a fraction of a day, it rounds up to 11 days.Thus, the remaining 3 coders will take 11 more days to finish the module. The other options are incorrect because they do not account for the accurate reduction in work rate and the amount of work already completed.
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