a, b and c can complete a work in 20,24 and 30 days . all three starts together but after 4 days a left job and b left job 6 days before completion of work , c completed remaining work , how many days was total work completed?
Answers
A, B, and C can do a piece of work in 12, 15 and 20 days, respectively. They started work together but C left after 2 days. In how many days will the remaining work be completed by A and B?
A does 1/12th of the work in a day.
B does 1/15th of the work in a day.
C does 1/20th of the work in a day.
So in two days that the three work together and they completed
(2/12) +(2/15) + (2/20) = (10/60) + (8/60) + (6/60) or (24/60) or 2/5th of the work. So what remains to be done is 3/5th of the work.
A and B together do (1/12) +(1/15) = (5/60) + (4/60) = 9/60 or 3/20th of the work in a day. So the two working together will take (3/5)/(3/20) = (3*20/(5*3) = 4 days.
A and B will complete the work in 4 days after C had left them.
Answer:
Step-by-step explanation:
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