A can do a work in 15 days and B in 20 days. In how many days will they work together to finish the work
Question
A can do a work in 15 days and B in 20 days.
In how many days will they work together to finish the work?
Solution
To solve this problem, we first need to find out how much work A and B can do in one day.
- A can finish the work in 15 days, so A can do 1/15 of the work in one day.
- B can finish the work in 20 days, so B can do 1/20 of the work in one day.
When A and B work together, their one day's work will be the sum of the work they can do individually in one day.
So, A and B together can do (1/15 + 1/20) of the work in one day.
To simplify this, find a common denominator for 15 and 20, which is 60.
So, A and B together can do (4/60 + 3/60) = 7/60 of the work in one day.
Therefore, to find out how many days they will take to finish the work together, divide the total work (1) by the work they can do in one day (7/60).
So, A and B will take 60/7 days to finish the work together, which is approximately 8.57 days.
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