A, B and C can finish a job working alone in 20, 30 and 60 days respectively. They all work together for 1 day, then A and B quit. How many days C working alone will take to finish the remaining part of the job?
A) 60 B) 54 C) 6 D) 27
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A, B, and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
A does 1/20th of the work in a day while B does 1/30th and C does 1/60th of the work in a day.
So A works for 3 days and B and C work with him on the third day. Thus in three days the work accomplished is (3/20)+(1/30)+(1/60) = (9/60)+(2/60)+(1/60) = 12/60 or 1/5. So in 3 days, the work completed is 1/5th, so the entire work will be completed in 3/(1/5) = 15 days.
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