A sculptor has to carve 10 identical statues. He completes 2 in 4 days, then hires an apprentice who works at half his speed. Together, how many more days to finish?
Correct answer: A. 8
- A. 8
- B. 10
- C. 12
- D. 14
Explanation
The sculptor completes 2 statues in 4 days, implying his work rate is 0.5 statues per day. He has 8 statues left to complete. When the apprentice joins, who works at half the sculptor's speed, their combined rate becomes 0.5 + 0.25 = 0.75 statues per day. To find the remaining time to complete 8 statues, divide the remaining statues by their combined work rate: 8 statues / 0.75 statues per day = 8 days. Thus, they need 8 more days to complete all the statues. The other options either miscalculate the apprentice's contribution or incorrectly apply the combined work rate.
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