A, B and C can complete a piece of work in 32, 36 and 40 days respectively. A and B started the work but after two days, A left the job and C joined B and both of them continued the job for next 4 days when C left the job. Now A again joined B and they continued to do the work together but B left the job just 2 days before the actual completion of the job. In how many days the work was completed?(Note: A and B like each other, so whenever they work together, Bandrsquo;s efficiency increases by 20%)a)b)c)d)Correct answer is option 'C'. Can you explain this answer?

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A, B and C can complete a piece of work in 32, 36 and 40 days respectively. A and B started the work but after two days, A left the job and C joined B and both of them continued the job for next 4 days when C left the job. Now A again joined B and they continued to do the work together but B left the job just 2 days before the actual completion of the job. In how many days the work was completed?
(Note: A and B like each other, so whenever they work together, B’s efficiency increases by 20%)

Correct answer is option 'C'. Can you explain this answer?

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A, B and C can complete a piece of work in 32, 36 and 40 days respecti...

►It is known that efficiency of B increases by 20% when A and B work together.

►In that case number of days taken by B = 36 x 5/6 = 30

►Part of the job completed by A and B in two days = 2/32 + 2/30 = 31/240

►Part of the job completed by B and C in next 4 days = 4/36 + 4/40 = 19/90

►Now. C left the job and A joined B.

►Suppose A worked for x more days.

►Then B worked for only x-2 days.

►Now, total number of days =

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A, B and C can complete a piece of work in 32, 36 and 40 days respectively. A and B started the work but after two days, A left the job and C joined B and both of them continued the job for next 4 days when C left the job. Now A again joined B and they continued to do the work together but B left the job just 2 days before the actual completion of the job. In how many days the work was completed?(Note: A and B like each other, so whenever they work together, B’s efficiency increases by 20%)a)b)c)d)Correct answer is option 'C'. Can you explain this answer?

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