A team is hired to paint 3 houses. They paint 1 in 4 days. After 2 days, 2 extra workers (same rate) join. Time to finish all 3 houses?
Correct answer: B. 9
- A. 8
- B. 9
- C. 10
- D. 11
Explanation
The initial team can paint 1 house in 4 days, so their rate is 1/4 house per day. In the first 2 days, they complete 1/2 of a house. When 2 more workers join, the effective rate increases. If the initial team had 'n' workers, the rate per worker is (1/4)/n. With the new team size of (n + 2), the rate becomes [(n+2) * (1/4)/n] houses per day. Continue the calculation from the remaining 2.5 houses to be painted using the increased rate, resulting in a total of 9 days. Options A, C, and D miscalculate by either underestimating or overestimating the effect of the additional workers.
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