A can finish a work in 10 days, and B can Finish a work in 20 days if both can complete w work In how many days?
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A can complete a piece of work in 10 days.
A can complete 1/10 of work in 1 day.
B can complete a piece of work in 20 days.
B can complete 1/20 of work in 1 day.
A and B together can complete 1/10 + 1/20 of a piece of work in one day,
= 1/10 + 1/20
= (2 +1)/20 = 3/20 .
Take 2 days as 1 time-unit,
Time taken to complete the piece of work = 1/(3/20) = 20/3 time-units.
No of days = 2 x (20/3) = 40/3 days = 13 1/3 days.
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