Discussion
U can complete a work in 20 days; V in 30 days and W in 60 days. V and W assist U on every third day to complete the work. In how many days can U complete the work with the help of V and W?
Answer: D
U works every day, and V and W also help on every third day. In a block of three days, U does 3/20 of the work, and on the third day V and W add 1/30 + 1/60 = 1/20.
\[ \tfrac{3}{20} + \tfrac{1}{20} = \tfrac{4}{20} \]
\[ \tfrac{4}{20} = \tfrac{1}{5} \text{ per 3 days} \]
So the work needs 5 blocks of 3 days, which is 15 days. Because the work ends exactly at the end of the fifth block, there is no extra partial block, and the answer is 15 days.
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