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Daniel can complete a piece of work alone in 10 days, and Stefan can complete the same work alone in 5 days. The work carries a total payment of 1,200 euros. Daniel, Stefan, and a third person, Oliver, work together and complete the work in 2 days. If the payment is divided in proportion to the amount of work done by each person, what is Oliver’s share of the payment?
A. 300 euros
B. 360 euros
C. 400 euros
D. 480 euros
E. 600 euros
A. 300 euros
B. 360 euros
C. 400 euros
D. 480 euros
E. 600 euros
10 Mar 2026, 22:24
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Official Solution:
Daniel can complete a piece of work alone in 10 days, and Stefan can complete the same work alone in 5 days. The work carries a total payment of 1,200 euros. Daniel, Stefan, and a third person, Oliver, work together and complete the work in 2 days. If the payment is divided in proportion to the amount of work done by each person, what is Oliver’s share of the payment?
A. 300 euros
B. 360 euros
C. 400 euros
D. 480 euros
E. 600 euros
Daniel rate \(= \frac{1}{10}\) job per day.
Stefan rate \(= \frac{1}{5}\) job per day.
In 2 days:
Daniel work \(= 2 * \frac{1}{10} = \frac{1}{5}\).
Stefan work \(= 2 * \frac{1}{5} = \frac{2}{5}\).
So Daniel + Stefan work \(= \frac{1}{5} + \frac{2}{5} = \frac{3}{5}\).
Total work \(= 1\), so Oliver work \(= 1 - \frac{3}{5} = \frac{2}{5}\).
Payment share \(= \frac{2}{5} * 1200 = 480\).
Answer: D
Daniel can complete a piece of work alone in 10 days, and Stefan can complete the same work alone in 5 days. The work carries a total payment of 1,200 euros. Daniel, Stefan, and a third person, Oliver, work together and complete the work in 2 days. If the payment is divided in proportion to the amount of work done by each person, what is Oliver’s share of the payment?
A. 300 euros
B. 360 euros
C. 400 euros
D. 480 euros
E. 600 euros
Daniel rate \(= \frac{1}{10}\) job per day.
Stefan rate \(= \frac{1}{5}\) job per day.
In 2 days:
Daniel work \(= 2 * \frac{1}{10} = \frac{1}{5}\).
Stefan work \(= 2 * \frac{1}{5} = \frac{2}{5}\).
So Daniel + Stefan work \(= \frac{1}{5} + \frac{2}{5} = \frac{3}{5}\).
Total work \(= 1\), so Oliver work \(= 1 - \frac{3}{5} = \frac{2}{5}\).
Payment share \(= \frac{2}{5} * 1200 = 480\).
Answer: D
