Question
Download Solution PDFA and B working separately can complete a piece of work in 10 and 16 days, respectively. If they work for a day alternately, with A beginning the work, in how many day(s) will the work be completed?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A and B working separately can complete a piece of work in 10 and 16 days
Concept used:
Total work = efficiency of the worker × time taken by them
Calculation:
Let the total work be 80 units
So, the efficiency of A and B = 8 units/day, 5 units/day
Effective efficiency of the two = 13 units/day
According to the question,
They work on alternative days
So, in 2 days work completed = 13 units
In 12 days work completed = 78 units
Now,
The remaining 2 units will be completed by A in 2/8 days or 1/4 days
So, total time = 12 + 1/4 days
⇒
∴ The work is completed in
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