A takes 8 days to finish a piece of work.B takes 10 days to finish the work How long will it take to finish the work when born of them are working together?
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Answer:
Time taken by X to complete a piece of work = 8 days
Time taken by Y to complete a piece of work = 12 days
Formula used:
Efficiency = Total work/Total time
Calculation:
According to the question
LCM of 8 and 12 = 24 (Let Total Work)
The efficiency of X = 24/8
⇒ 3 units/day
The efficiency of Y = 24/12
⇒ 2 units/day
Total work done by X and Y together in 1 day, independently = (3 + 2) units/day
⇒ 5 units/day
Total time taken = 24/5
⇒ days
∴ Total time taken by X and Y working together but independently is days.
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