Question : A 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?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution :
Let the total work be 80 units
The efficiency of A and B =
⇒ The efficiency of A and B = 8 units/day, 5 units/day respectively
Effective efficiency of A and B together = 8 + 5 = 13 units/day
According to the question,
They work on alternative days.
⇒ Work completed in 2 days = 13 units
In 12 days work completed = 78 units
Now, the remaining 2 units will be completed by A in
⇒ Total time =
Hence, the correct answer is
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