A team translates a book in 40 days. A second team with 60% the efficiency joins after 10 days. Total time to complete the book?
Correct answer: B. 30
- A. 28
- B. 30
- C. 32
- D. 34
Explanation
The first team works alone for 10 days, completing 10/40 = 1/4 of the book, leaving 3/4 of the book. When the second team joins, their combined efficiency becomes 1 + 0.6 = 1.6 times that of the first team alone. They complete the remaining 3/4 of the book at this increased rate. The time needed to finish the remaining work is (3/4) / 1.6 = 3/6.4 = 15/32 days. Adding the initial 10 days, the total time becomes 10 + 15/32 = 30 days. Therefore, the correct answer is Option B: 30. Options A, C, and D miscalculate the impact of the second team's efficiency on the completion time.
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