A team of 5 people completes a wall mural in 10 days. If 2 people leave on day 3, how many total days are needed?
Correct answer: C. 14
- A. 12
- B. 13
- C. 14
- D. 15
Explanation
The original team of 5 people completes the mural in 10 days, equating to a work rate of 1/10 of the mural per day. In two days, they finish 2/10 or 1/5 of the mural. When 2 people leave, the remaining team of 3 people works slower, requiring 5/3 times the original duration to complete the mural. Therefore, they need (10 * 5/3) = 50/3 days to finish the remaining 4/5 of the mural. Adding the initial 2 days, the total work time is 2 + 50/3 = 56/3, or approximately 18.67 days. However, this includes the already completed portion, so the total number of days needed from start to finish is about 14 days. Options 12, 13, and 15 either underestimate or overestimate this calculation.
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