if a person is doing the work in 20 days and another is doing the work in in 30 days how many day it will take if both will do the work.
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A can complete the work in 30 days, thus in one day A can do = 1/30th part of work
B can do this work in 20 days, thus in one day B can do =1/20th part of work
Both A and B work together then they can do part of work
1/30 + 1/20
(2 + 3)/60
= 5/60 part of work
Or 1/12 part of work
If they work together then they can complete the work early. Let they take x days to complete the entire work
1/12 × x days = 1
x/12 = 1
Cross multiplication
x = 1 × 12
x = 12 days
It suggest, that if both A and B work together then they can complete the entire work in 12 days.
Answer: if both A and B complete work in 12 days
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