A painting job can be completed by 3 painters in 29 days. If 6 more painters join the team 2 days after starting work on the job, then how many more days are required to complete the job?
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7
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8
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9
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10
Total work = 3 painters × 29 days = 87 painter-days. After 2 days, 6 painter-days are done, leaving 81 painter-days. With 9 painters (3 original + 6 new), remaining work takes 81/9 = 9 days. The question asks for additional days after day 2, so the answer is 9.
To solve this problem, we can use the concept of work rates.
Let's assume that the rate at which one painter can complete the job is 1 unit per day. Therefore, the combined work rate of 3 painters is 3 units per day.
We are given that the job takes 29 days to complete with 3 painters. Therefore, the total work required to complete the job is 3 units/day * 29 days = 87 units.
Now, let's consider the scenario where 6 more painters join the team after 2 days. This means that for the first 2 days, only the initial 3 painters were working.
In these 2 days, the work completed by the initial 3 painters is 3 units/day * 2 days = 6 units. Therefore, the remaining work to be completed is 87 units - 6 units = 81 units.
Now, the combined work rate of 9 painters is 9 units/day.
To find the number of days required to complete the remaining work, we can divide the remaining work by the combined work rate of 9 painters:
Remaining work / Combined work rate = 81 units / 9 units/day = 9 days.
Therefore, the additional number of days required to complete the job is 9.
The correct answer is C) 9.