Discussion
Working together X, Y and Z can complete a certain work in 20 days. X and Y together can complete 40 % of it in 10 days and Y and Z together can complete it in 40 days. In how many days can X and Z complete 35 % of the original work?
Answer: B
X and Z can complete 35 % of the work in 10 days. X, Y and Z together do 1/20 of the work per day. X and Y together do 40 % in 10 days, so 1/25 per day, and Y and Z together do 1/40 per day.
\[ Z = \frac{1}{20} - \frac{1}{25} = \frac{1}{100} \]
\[ X = \frac{1}{20} - \frac{1}{40} = \frac{1}{40} \]
\[ X + Z = \frac{1}{40} + \frac{1}{100} = \frac{7}{200} \]
\[ \text{Time} = \frac{0.35}{7/200} = 10 \text{ days} \]
The options 9, 12 and 15 days do not equal 0.35 divided by 7/200, so the second option is the answer.
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